Sabitov, I. Kh. Locally Euclidean metrics and their isometric realizations. (English. Russian original) Zbl 07798187 J. Math. Sci., New York 276, No. 6, 793-801 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 181, 102-111 (2020). MSC: 53A05 53B20 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, J. Math. Sci., New York 276, No. 6, 793--801 (2023; Zbl 07798187); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 181, 102--111 (2020) Full Text: DOI
Sabitov, I. Kh. Infinitesimal sliding bendings of compact surfaces and Euler’s conjecture. (English. Russian original) Zbl 1526.53007 Sib. Math. J. 64, No. 5, 1213-1228 (2023); translation from Sib. Mat. Zh. 64, No. 5, 1065-1082 (2023). MSC: 53A05 14J26 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Sib. Math. J. 64, No. 5, 1213--1228 (2023; Zbl 1526.53007); translation from Sib. Mat. Zh. 64, No. 5, 1065--1082 (2023) Full Text: DOI
Sabitov, Idzhad Kh. On metrics admitting a discontinuum set of non-congruent immersions in \(\mathbb{R}^3\). (Russian. English summary) Zbl 1479.53009 Sib. Èlektron. Mat. Izv. 18, No. 2, 1023-1026 (2021). MSC: 53A05 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Sib. Èlektron. Mat. Izv. 18, No. 2, 1023--1026 (2021; Zbl 1479.53009) Full Text: DOI
Sabitov, I. Kh. Bendable surfaces without visible deformations of their shape. (English. Russian original) Zbl 1478.53010 Math. Notes 110, No. 1, 126-134 (2021); translation from Mat. Zametki 110, No. 1, 119-130 (2021). Reviewer: Ivan C. Sterling (St. Mary’s City) MSC: 53A05 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Math. Notes 110, No. 1, 126--134 (2021; Zbl 1478.53010); translation from Mat. Zametki 110, No. 1, 119--130 (2021) Full Text: DOI
Sabitov, Idzhad Khakovich New proofs of infinitesimal rigidity of convex polyhedra and convex surfaces of revolution. (Russian. English summary) Zbl 1475.52031 Sib. Èlektron. Mat. Izv. 18, No. 2, 740-743 (2021). Reviewer: Boris Ivanovich Konosevich (Donetsk) MSC: 52C25 52B10 53A05 PDFBibTeX XMLCite \textit{I. K. Sabitov}, Sib. Èlektron. Mat. Izv. 18, No. 2, 740--743 (2021; Zbl 1475.52031) Full Text: DOI
Sabitov, Idzhad Kh. On a problem in the bendings theory of negatively curved surfaces. (Russian. English summary) Zbl 1396.53008 Sib. Èlektron. Mat. Izv. 15, 890-893 (2018). MSC: 53A05 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Sib. Èlektron. Mat. Izv. 15, 890--893 (2018; Zbl 1396.53008) Full Text: DOI
Sabitov, Idzhad Kh. Solutions of the trivial Monge-Ampère equation with isolated singular points. (Russian. English summary) Zbl 1372.53041 Sib. Èlektron. Mat. Izv. 13, 740-743 (2016). MSC: 53C21 35J56 35K96 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Sib. Èlektron. Mat. Izv. 13, 740--743 (2016; Zbl 1372.53041) Full Text: DOI
Sabitov, I. Kh. The Moscow Mathematical Society and metric geometry: from Peterson to contemporary research. (English. Russian original) Zbl 1360.01027 Trans. Mosc. Math. Soc. 2016, 149-175 (2016); translation from Tr. Mosk. Mat. O.-va 77, No. 2, 184-218 (2016). Reviewer: Roman Murawski (Poznań) MSC: 01A55 01A60 01A61 01A74 53-03 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Trans. Mosc. Math. Soc. 2016, 149--175 (2016; Zbl 1360.01027); translation from Tr. Mosk. Mat. O.-va 77, No. 2, 184--218 (2016) Full Text: DOI
Mikhalev, S. N.; Sabitov, I. Kh. Isometric embeddings in \(\mathbb{R}^3\) of an annulus with a locally Euclidean metric which are multivalued of cylindrical type. (English. Russian original) Zbl 1337.53006 Math. Notes 98, No. 3, 441-447 (2015); translation from Mat. Zametki 98, No. 3, 378-385 (2015). MSC: 53A05 PDFBibTeX XMLCite \textit{S. N. Mikhalev} and \textit{I. Kh. Sabitov}, Math. Notes 98, No. 3, 441--447 (2015; Zbl 1337.53006); translation from Mat. Zametki 98, No. 3, 378--385 (2015) Full Text: DOI
Mikhalev, S. N.; Sabitov, I. Kh. Isometric embeddings of locally Euclidean metrics in \(\mathbb R^3\) as conical surfaces. (English. Russian original) Zbl 1315.53004 Math. Notes 95, No. 2, 212-223 (2014); translation from Mat. Zametki 95, No. 2, 234-247 (2014). MSC: 53A05 PDFBibTeX XMLCite \textit{S. N. Mikhalev} and \textit{I. Kh. Sabitov}, Math. Notes 95, No. 2, 212--223 (2014; Zbl 1315.53004); translation from Mat. Zametki 95, No. 2, 234--247 (2014) Full Text: DOI
Sabitov, I. Kh Second-order infinitesimal bendings of surfaces of revolution with flattening at the poles. (English. Russian original) Zbl 1315.53005 Sb. Math. 205, No. 12, 1787-1814 (2014); translation from Mat. Sb. 205, No. 12, 111-140 (2014). Reviewer: Ünver Çiftçi (Tekirdağ) MSC: 53A05 PDFBibTeX XMLCite \textit{I. K. Sabitov}, Sb. Math. 205, No. 12, 1787--1814 (2014; Zbl 1315.53005); translation from Mat. Sb. 205, No. 12, 111--140 (2014) Full Text: DOI
Sabitov, I. Kh. Infinitesimal and global rigidity and inflexibility of surfaces of revolution with flattening at the poles. (English. Russian original) Zbl 1292.53007 Sb. Math. 204, No. 9, 1516-1547 (2013); translation from Mat. Sb. 204, No. 10, 127-160 (2013). Reviewer: Friedrich Manhart (Wien) MSC: 53A05 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Sb. Math. 204, No. 9, 1516--1547 (2013; Zbl 1292.53007); translation from Mat. Sb. 204, No. 10, 127--160 (2013) Full Text: DOI
Sabitov, I. Kh Isometric surfaces with a common mean curvature and the problem of Bonnet pairs. (English. Russian original) Zbl 1266.53006 Sb. Math. 203, No. 1, 111-152 (2012); translation from Mat. Sb. 203, No. 1, 115-158 (2012). Reviewer: David Brander (Kongens Lyngby) MSC: 53A05 53A10 PDFBibTeX XMLCite \textit{I. K. Sabitov}, Sb. Math. 203, No. 1, 111--152 (2012; Zbl 1266.53006); translation from Mat. Sb. 203, No. 1, 115--158 (2012) Full Text: DOI
Sabitov, Idzhad Kh. (ed.); Chubarikov, Vladimir N. (ed.) Current problems in mathematics and mechanics. Vol. VI. Mathematics. 3. Dedicated to the 100th anniversary of N. V. Efimov. Proceedings of the conference on metric geometry of surfaces and polyhedra, Moscow, Russia, August 18–21, 2010. (Современные проблемы математики и механики. Том VI. Математика. Выпуск 3. К 100-летию со дня рождения Н. В. Ефимова.) (Russian) Zbl 1253.00027 Moskva: Izdatel’stvo MGU (ISBN 978-5-211-05652-7/pbk). 238 p. (2011). MSC: 00B25 00B30 53-06 37-06 52-06 PDFBibTeX XMLCite \textit{I. Kh. Sabitov} (ed.) and \textit{V. N. Chubarikov} (ed.), Современные проблемы математики и механики. Том VI. Математика. Выпуск 3. К 100-летию со дня рождения Н. В. Ефимова (Russian). Moskva: Izdatel'stvo MGU (2011; Zbl 1253.00027)
Sabitov, Idzhad Kh. (ed.); Chubarikov, Vladimir N. (ed.) Current problems in mathematics and mechanics. Vol. VI. Mathematics. 2. Dedicated to the 100th anniversary of N. V. Efimov. Proceedings of the conference on metric geometry of surfaces and polyhedra, Moscow, Russia, August 18–21, 2010. (Современные проблемы математики и механики. Том VI. Математика. Выпуск 2. К 100-летию со дня рождения Н. В. Ефимова.) (Russian) Zbl 1253.00026 Moskva: Izdatel’stvo MGU (ISBN 978-5-211-05652-7/pbk). 226 p. (2011). MSC: 00B25 00B30 01A70 53-06 35-06 30-06 PDFBibTeX XMLCite \textit{I. Kh. Sabitov} (ed.) and \textit{V. N. Chubarikov} (ed.), Современные проблемы математики и механики. Том VI. Математика. Выпуск 2. К 100-летию со дня рождения Н. В. Ефимова (Russian). Moskva: Izdatel'stvo MGU (2011; Zbl 1253.00026)
Sabitov, I. Kh. On the extrinsic curvature and the extrinsic structure of normal developable \(C^1\) surfaces. (English. Russian original) Zbl 1275.53010 Math. Notes 87, No. 6, 874-879 (2010); translation from Mat. Zametki 87, No. 6, 901-907 (2010). MSC: 53A05 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Math. Notes 87, No. 6, 874--879 (2010; Zbl 1275.53010); translation from Mat. Zametki 87, No. 6, 901--907 (2010) Full Text: DOI
Sabitov, I. Kh. A solution of the Bonnet pairs problem. (English. Russian original) Zbl 1219.53010 Dokl. Math. 82, No. 2, 722-725 (2010); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 434, No. 2, 164-167 (2010). Reviewer: Friedrich Manhart (Wien) MSC: 53A05 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Dokl. Math. 82, No. 2, 722--725 (2010; Zbl 1219.53010); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 434, No. 2, 164--167 (2010) Full Text: DOI
Sabitov, I. Kh. Some integral formulas for compact surfaces. (English) Zbl 1203.53050 TWMS J. Pure Appl. Math. 1, No. 1, 123-131 (2010). Reviewer: Valery Vladimirovich Volchkov (Donetsk) MSC: 53C40 53C65 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, TWMS J. Pure Appl. Math. 1, No. 1, 123--131 (2010; Zbl 1203.53050)
Sabitov, I. Kh. On the developable ruled surfaces of low smoothness. (Russian, English) Zbl 1224.53010 Sib. Mat. Zh. 50, No. 5, 1163-1175 (2009); translation in Sib. Math. J. 50, No. 5, 919-928 (2009). MSC: 53A05 53A25 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Sib. Mat. Zh. 50, No. 5, 1163--1175 (2009; Zbl 1224.53010); translation in Sib. Math. J. 50, No. 5, 919--928 (2009) Full Text: EuDML EMIS
Sabitov, I. Kh. Locally Euclidean metrics with a given geodesic curvature of the boundary. (English. Russian original) Zbl 1180.53016 Proc. Steklov Inst. Math. 266, 210-218 (2009); translation from Tr. Mat. Inst. Steklova 266, 218-226 (2009). MSC: 53B20 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Proc. Steklov Inst. Math. 266, 210--218 (2009; Zbl 1180.53016); translation from Tr. Mat. Inst. Steklova 266, 218--226 (2009) Full Text: DOI
Sabitov, I. Kh. Isometric immersions and embeddings of locally Euclidean metrics. (English) Zbl 1218.53001 Rev. Math. Math. Phys. 13, No. 1, 286 p. (2008). Reviewer: Constantin Călin (Iaşi) MSC: 53-02 53C40 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Rev. Math. Math. Phys. 13, No. 1, 286 p. (2008; Zbl 1218.53001)
Sabitov, I. Kh. A generalization of the Pogorelov-Stocker theorem on complete developable surfaces. (English. Russian original) Zbl 1156.53009 J. Math. Sci., New York 149, No. 1, 1028-1031 (2008); translation from Fundam. Prikl. Mat. 12, No. 1, 247-252 (2006). Reviewer: Friedrich Manhart (Wien) MSC: 53A05 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, J. Math. Sci., New York 149, No. 1, 1028--1031 (2008; Zbl 1156.53009); translation from Fundam. Prikl. Mat. 12, No. 1, 247--252 (2006) Full Text: DOI
Ivanova-Karatopraklieva, I.; Markov, P. E.; Sabitov, I. Kh. Bending of surfaces. III. (English. Russian original) Zbl 1149.53301 J. Math. Sci., New York 149, No. 1, 861-895 (2008); translation from Fundam. Prikl. Mat. 12, No. 1, 3-56 (2006). MSC: 53A07 53C24 53C40 PDFBibTeX XMLCite \textit{I. Ivanova-Karatopraklieva} et al., J. Math. Sci., New York 149, No. 1, 861--895 (2008; Zbl 1149.53301); translation from Fundam. Prikl. Mat. 12, No. 1, 3--56 (2006) Full Text: DOI
Sabitov, Idzhad Kh. On flexible flat tori in \(S^3\). (English) Zbl 1138.53050 Dillen, Franki (ed.) et al., Pure and applied differential geometry, PADGE 2007. Proceedings of the international congress, Brussels, Belgium, April 10–13, 2007. Aachen: Shaker (ISBN 978-3-8322-6759-9/pbk). Berichte aus der Mathematik, 247-251 (2007). MSC: 53C42 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, in: Pure and applied differential geometry, PADGE 2007. Proceedings of the international congress, Brussels, Belgium, April 10--13, 2007. Aachen: Shaker. 247--251 (2007; Zbl 1138.53050)
Sabitov, I. Kh. Isometric immersions and embeddings of a flat Möbius strip in Euclidean spaces. (English. Russian original) Zbl 1152.53004 Izv. Math. 71, No. 5, 1049-1078 (2007); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 71, No. 5, 197-224 (2007). Reviewer: Otto Röschel (Graz) MSC: 53A07 53A05 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Izv. Math. 71, No. 5, 1049--1078 (2007; Zbl 1152.53004); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 71, No. 5, 197--224 (2007) Full Text: DOI
Sabitov, I. Kh. On the history of an interpretation of bendings on a main base. (Russian. English summary) Zbl 1074.01523 Istor.-Mat. Issled., II. Ser. 5(40), 164-166, 382 (2000). MSC: 01A60 53-03 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Istor.-Mat. Issled. (2) 5(40), 164--166, 382 (2000; Zbl 1074.01523)
Sabitov, I. Kh. Two-dimensional manifolds with metrics of revolution. (English. Russian original) Zbl 0981.53007 Sb. Math. 191, No. 10, 1507-1525 (2000); translation from Mat. Sb. 191, No. 10, 87-104 (2000). Reviewer: Thomas Hasanis (Ioannina) MSC: 53A05 57N05 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Sb. Math. 191, No. 10, 1507--1525 (2000; Zbl 0981.53007); translation from Mat. Sb. 191, No. 10, 87--104 (2000) Full Text: DOI
Sabitov, I. Kh. On some recent results in the metric theory of polyhedra. (English) Zbl 0974.51025 Gruber, Peter M. (ed.), Third international conference in stochastic geometry, convex bodies and empirical measures, Mazara del Vallo, Italy, May 24-29, 1999. Part II: Convex bodies. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 65, 167-177 (2000). Reviewer: Wolfgang Kühnel (Stuttgart) MSC: 51M25 53C24 52B11 52C25 52B70 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, in: Third international conference in stochastic geometry, convex bodies and empirical measures, Mazara del Vallo, Italy, May 24--29, 1999. Part II: Convex bodies. Palermo: Circolo Matematico di Palermo. 167--177 (2000; Zbl 0974.51025)
Sabitov, I. Kh. Isometric immersions and embeddings of locally Euclidean metrics in \(\mathbb{R}^2\). (English. Russian original) Zbl 0978.53031 Izv. Math. 63, No. 6, 1203-1220 (1999); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 63, No. 6, 147-166 (1999). MSC: 53B20 53C20 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Izv. Math. 63, No. 6, 1203--1220 (1999; Zbl 0978.53031); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 63, No. 6, 147--166 (1999) Full Text: DOI
Sabitov, I. Kh. Isometric transformations of a surface inducing conformal maps of the surface into itself. (English. Russian original) Zbl 0914.53006 Sb. Math. 189, No. 1, 119-132 (1998); translation from Mat. Sb. 189, No. 1, 115-127 (1998). Reviewer: A.Neagu (Iaşi) MSC: 53A05 53A30 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Sb. Math. 189, No. 1, 119--132 (1998; Zbl 0914.53006); translation from Mat. Sb. 189, No. 1, 115--127 (1998) Full Text: DOI
Sabitov, I. Kh. An integral analog of the Darboux equations for immersions of two-dimensional metrics. (English. Russian original) Zbl 0966.53005 Russ. Math. 41, No. 9, 46-53 (1997); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1997, No. 9(424), 49-56 (1997). MSC: 53A05 35Q05 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Russ. Math. 41, No. 9, 46--53 (1997; Zbl 0966.53005); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1997, No. 9(424), 49--56 (1997)
Sabitov, I. Kh. Some remarks on the tubes of negative curvature. (Russian. English summary) Zbl 0872.53043 Fundam. Prikl. Mat. 1, No. 4, 1033-1043 (1995). Reviewer: Ü.Lumiste (Tartu) MSC: 53C45 53A05 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Fundam. Prikl. Mat. 1, No. 4, 1033--1043 (1995; Zbl 0872.53043)
Sabitov, I. Kh. Quasi-conformal mappings of a surface generated by its isometric transformation and bendings of the surface onto itself. (Russian. English summary) Zbl 0871.53012 Fundam. Prikl. Mat. 1, No. 1, 281-288 (1995). Reviewer: A.Neagu (Iaşi) MSC: 53A30 30C65 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Fundam. Prikl. Mat. 1, No. 1, 281--288 (1995; Zbl 0871.53012)
Ivanova-Karatopraklieva, I.; Sabitov, I. Kh. Bending of surfaces. II. (English) Zbl 0861.53002 J. Math. Sci., New York 74, No. 3, 997-1043 (1995). Reviewer: V.T.Fomenko (Taganrog) MSC: 53A05 53-02 PDFBibTeX XMLCite \textit{I. Ivanova-Karatopraklieva} and \textit{I. Kh. Sabitov}, J. Math. Sci., New York 74, No. 3, 997--1043 (1995; Zbl 0861.53002) Full Text: DOI
Sabitov, I. Kh. The complete list of centrally symmetric forms of two-dimensional metrics of constant curvature. (English. Russian original) Zbl 0838.53004 Russ. Math. 38, No. 3, 63-66 (1994); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1994, No. 3 (382), 65-68 (1994). Reviewer: Gh.Pitiş (Braşov) MSC: 53A05 53B25 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Russ. Math. 38, No. 3, 1 (1994; Zbl 0838.53004); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1994, No. 3 (382), 65--68 (1994)
Ivanova-Karatopraklieva, I.; Sabitov, I. Kh. Surface deformation. I. (English. Russian original) Zbl 0835.53003 J. Math. Sci., New York 70, No. 2, 1685-1716 (1994); translation from Itogi Nauki Tekh., Ser. Probl. Geom. 23, 131-184 (1991). MSC: 53A05 53-02 PDFBibTeX XMLCite \textit{I. Ivanova-Karatopraklieva} and \textit{I. Kh. Sabitov}, J. Math. Sci., New York 70, No. 2, 1685--1716 (1994; Zbl 0835.53003); translation from Itogi Nauki Tekh., Ser. Probl. Geom. 23, 131--184 (1991) Full Text: DOI
Sabitov, I. Kh. To the question of smoothness of isometries. (English. Russian original) Zbl 0815.53027 Sib. Math. J. 34, No. 4, 741-748 (1993); translation from Sib. Mat. Zh. 34, No. 4, 169-176 (1993). Reviewer: V.B.Marenich (Campinas) MSC: 53B20 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Sib. Math. J. 34, No. 4, 741--748 (1993; Zbl 0815.53027); translation from Sib. Mat. Zh. 34, No. 4, 169--176 (1993) Full Text: DOI
Sabitov, I. Kh. On the relations between infinitesimal bendings of different orders. (English. Russian original) Zbl 0835.53005 J. Math. Sci., New York 72, No. 4, 3237-3241 (1994); translation from Ukr. Geom. Sb. 35, 118-124 (1992). MSC: 53A07 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Ukr. Geom. Sb. 35, 118--124 (1992; Zbl 0835.53005); translation from Ukr. Geom. Sb. 35, 118--124 (1992)
Sabitov, I. Kh. On connections between infinitesimal deformations of different orders. (Russian) Zbl 0811.53008 Ukr. Geom. Sb. 35, 118-124 (1992). Reviewer: St.Hineva (Sofia) MSC: 53A07 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Ukr. Geom. Sb. 35, 118--124 (1992; Zbl 0811.53008)
Ivanova-Karatopraklieva, I.; Sabitov, I. Kh. Bending of surfaces. I. (Russian) Zbl 0755.53002 Itogi Nauki Tekh., Ser. Probl. Geom. 23, 131-184 (1991). Reviewer: V.T.Fomenko (Taganrog) MSC: 53A05 53-02 PDFBibTeX XMLCite \textit{I. Ivanova-Karatopraklieva} and \textit{I. Kh. Sabitov}, Itogi Nauki Tekh., Ser. Probl. Geom. 23, 131--184 (1991; Zbl 0755.53002)
Sabitov, I. Kh. Local theory on bendings of surfaces. (English. Russian original) Zbl 0781.53008 Geometry III. Theory of surfaces. Encycl. Math. Sci. 48, 179-250 (1992); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 48, 196-270 (1989). MSC: 53A05 53-02 PDFBibTeX XML
Sabitov, I. Kh. Local theory of deformations of surfaces. (Russian) Zbl 0711.53002 Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 48, 196-270 (1989). Reviewer: D.Andrica MSC: 53A05 53-02 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 48, 196--270 (1989; Zbl 0711.53002)
Sabitov, I. Kh. Isometric immersions of the Lobachevskij plane in \(E^ 4\). (English. Russian original) Zbl 0697.53014 Sib. Math. J. 30, No. 5, 805-811 (1989); translation from Sib. Mat. Zh. 30, No. 5(177), 179-186 (1989). Reviewer: V.T.Fomenko MSC: 53A07 53B20 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Sib. Math. J. 30, No. 5, 805--811 (1989; Zbl 0697.53014); translation from Sib. Mat. Zh. 30, No. 5(177), 179--186 (1989) Full Text: DOI
Ivanova-Karatopraklieva, I.; Sabitov, I. Kh. Second-order infinitesimal bendings of surfaces of rotation with densification at a pole. (English. Russian original) Zbl 0682.53007 Math. Notes 45, No. 1-2, 19-24 (1989); translation from Mat. Zametki 45, No. 1, 28-35 (1989). MSC: 53A05 PDFBibTeX XMLCite \textit{I. Ivanova-Karatopraklieva} and \textit{I. Kh. Sabitov}, Math. Notes 45, No. 1--2, 19--24 (1989; Zbl 0682.53007); translation from Mat. Zametki 45, No. 1, 28--35 (1989) Full Text: DOI
Ivanova-Karatopraklieva, I.; Sabitov, I. Kh. Infinitesimal bendings of second order of surfaces of revolution with flattening at the pole. (Russian) Zbl 0662.53003 Mat. Zametki 45, No. 1, 28-35 (1989). Reviewer: W.Mozgawa MSC: 53A05 PDFBibTeX XMLCite \textit{I. Ivanova-Karatopraklieva} and \textit{I. Kh. Sabitov}, Mat. Zametki 45, No. 1, 28--35 (1989; Zbl 0662.53003)
Sabitov, I. Kh. Isometric immersions and embeddings of locally Euclidean metrics in \(\mathbb R^ 2\). (Russian) Zbl 0811.53004 Tr. Semin. Vektorn. Tenzorn. Anal. 23, 147-156 (1988). Reviewer: V.Yu.Rovenskij (Krasnoyarsk) MSC: 53A05 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Tr. Semin. Vektorn. Tenzorn. Anal. 23, 147--156 (1988; Zbl 0811.53004)
Sabitov, I. Kh. A study of the rigidity and inflexibility of analytic surfaces of revolution with flattening at the pole. (English. Russian original) Zbl 0633.53006 Mosc. Univ. Math. Bull. 41, No. 5, 33-41 (1986); translation from Vestn. Mosk. Univ., Ser. I 1986, No. 5, 29-36 (1986). MSC: 53A05 11D04 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Mosc. Univ. Math. Bull. 41, No. 5, 33--41 (1986; Zbl 0633.53006); translation from Vestn. Mosk. Univ., Ser. I 1986, No. 5, 29--36 (1986)
Sabitov, I. Kh. Isometric immersion of locally euclidean metrics in \(R^ 3\). (English) Zbl 0584.53003 Sib. Math. J. 26, 431-440 (1985). MSC: 53A05 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Sib. Math. J. 26, 431--440 (1985; Zbl 0584.53003) Full Text: DOI
Sabitov, I. Kh. Isometric immersion of locally Euclidean metrics into \(R^ 3\). (Russian) Zbl 0569.53002 Sib. Mat. Zh. 26, No. 3(151), 156-167 (1985). Reviewer: P.Stavre MSC: 53A05 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Sib. Mat. Zh. 26, No. 3(151), 156--167 (1985; Zbl 0569.53002) Full Text: EuDML
Andrejchin, E. R.; Sabitov, I. Kh. Generalization of Rembs’ theorem to general convex surfaces of revolution. (Russian) Zbl 0536.53060 Ukr. Geom. Sb. 26, 13-24 (1983). Reviewer: S.Hineva MSC: 53C45 PDFBibTeX XMLCite \textit{E. R. Andrejchin} and \textit{I. Kh. Sabitov}, Ukr. Geom. Sb. 26, 13--24 (1983; Zbl 0536.53060)
Sabitov, I. Kh. Smoothness of a hypersurface of positive external curvature and its fundamental forms in conjugate harmonic coordinates. (English) Zbl 0518.53021 Mosc. Univ. Math. Bull. 37, No. 6, 1-4 (1982). MSC: 53B25 53B21 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Mosc. Univ. Math. Bull. 37, No. 6, 1--4 (1982; Zbl 0518.53021)
Sabitov, I. Kh. Smoothness of a hypersurface with positive exterior curvature and of its fundamental forms in conjugate harmonic coordinates. (Russian) Zbl 0507.53019 Vestn. Mosk. Univ., Ser. I 1982, No. 6, 5-8 (1982). MSC: 53B25 53B21 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Vestn. Mosk. Univ., Ser. I 1982, No. 6, 5--8 (1982; Zbl 0507.53019)
Kolmogorov, A. N. (ed.); Novikov, S. P. (ed.); Sabitov, I. H. (ed.) [Gluck, Herrman; Krigelman, Kenneth; Singer, David; Kazdan, Jerry L.; Warner, F. W.; Connelly, Robert; Jacobowitz, H.; Moore, John Douglas; Alexander, S.; Maltz, R.; Efimov, N. V.] Investigations in the metric theory of surfaces. Collection of articles. (Issledovaniya po metricheskoj teorii poverkhnostej. Sbornik statej). Transl. from the English and from the French by I.Kh.Sabitov. (Russian) Zbl 0483.53001 Matematika. Novoe v Zarubezhnoj Nauke, Vyp. 18. Moskva: ”Mir”. 294 p. R. 2.60 (1980). MSC: 53-02 53C20 53A05 PDFBibTeX XML
Sabitov, I. Kh. A successive approximation scheme for the immersions of two-dimensional metrics into \(E^3\). (English) Zbl 0418.53025 Sib. Math. J. 19, 957-973 (1979). MSC: 53C42 53A05 53B25 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Sib. Math. J. 19, 957--973 (1979; Zbl 0418.53025)
Sabitov, I. Kh. Über ein Schema sukzessiver Approximationen für die Einbettung zweidimensionaler Metriken in den \(E^3\). (Russian) Zbl 0399.53018 Sib. Mat. Zh. 19, 1359-1380 (1978). MSC: 53C42 53A05 53B25 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Sib. Mat. Zh. 19, 1359--1380 (1978; Zbl 0399.53018)
Sabitov, I. Kh. The regularity of convex regions with a metric that is regular in the Hölder classes. (English) Zbl 0386.53041 Sib. Math. J. 17(1976), 681-687 (1977). MSC: 53C45 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Sib. Math. J. 17, 681--687 (1977; Zbl 0386.53041) Full Text: DOI
Sabitov, I. Kh.; Shefel’, S. Z. The connections between the order of smoothness of a surface and its metric. (English) Zbl 0386.53014 Sib. Math. J. 17(1976), 687-694 (1977). MSC: 53B25 53B20 PDFBibTeX XMLCite \textit{I. Kh. Sabitov} and \textit{S. Z. Shefel'}, Sib. Math. J. 17, 687--694 (1977; Zbl 0386.53014) Full Text: DOI
Sabitov, I. Kh. On infinitesimal bendings of troughs of revolution. II. (English) Zbl 0371.53041 Math. USSR, Sb. 28(1976), 41-48 (1977). MSC: 53C45 53A05 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Math. USSR, Sb. 28, 41--48 (1977; Zbl 0371.53041) Full Text: DOI
Sabitov, I. Kh. Embedding two-dimensional metrics in \(E^4\). (English) Zbl 0358.53029 Math. Notes 21, 77-78 (1977). MSC: 53C20 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Math. Notes 21, 77--78 (1977; Zbl 0358.53029) Full Text: DOI
Sabitov, I. Kh. On infinitesimal bendings of troughs of revolution. I. (English) Zbl 0349.53044 Math. USSR, Sb. 27(1975), 103-117 (1977). MSC: 53C45 53A05 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Math. USSR, Sb. 27, 103--117 (1977; Zbl 0349.53044) Full Text: DOI
Sabitov, I. Kh. Zur Frage über die Einbettung zweidimensionaler Metriken in den \(E^4\). (Russian) Zbl 0348.53028 Mat. Zametki 21, 137-140 (1977). MSC: 53C20 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Mat. Zametki 21, 137--140 (1977; Zbl 0348.53028)
Sabitov, I. Kh.; Shefel’, S. Z. On the connections between the smoothness orders of a surface and its metric. (Russian) Zbl 0358.53015 Sib. Mat. Zh. 17, 916-925 (1976). MSC: 53B25 53B20 PDFBibTeX XMLCite \textit{I. Kh. Sabitov} and \textit{S. Z. Shefel'}, Sib. Mat. Zh. 17, 916--925 (1976; Zbl 0358.53015) Full Text: EuDML
Sabitov, I.kh. Possible generalizations of the Minagawa-Rado lemma on the rigidity of a surface of revolution with a fixed parallel. (English) Zbl 0357.53003 Math. Notes 19, 74-79 (1976). MSC: 53A05 PDFBibTeX XMLCite \textit{I. kh. Sabitov}, Math. Notes 19, 74--79 (1976; Zbl 0357.53003) Full Text: DOI
Sabitov, I. H. Regularität konvexer Flächen mit einer im Hölderschen Sinne regulären Metrik. (Russian) Zbl 0356.53017 Sib. Mat. Zh. 17, 907-915 (1976). MSC: 53C45 PDFBibTeX XMLCite \textit{I. H. Sabitov}, Sib. Mat. Zh. 17, 907--915 (1976; Zbl 0356.53017)
Sabitov, I. Kh. Mögliche Verallgemeinerungen eines Lemmas von Minagawa-Rado über die Starrheit einer Rotationsfläche mit einer festen Parallele. (Russian) Zbl 0346.53001 Mat. Zametki 19, 123-132 (1976). MSC: 53A05 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Mat. Zametki 19, 123--132 (1976; Zbl 0346.53001)
Sabitov, I. Kh. Über unendlich kleine Verbiegungen von Rotationsrinnen. I, II. (Russian) Zbl 0325.53048 Mat. Sb., N. Ser. 98(140), 113-129 (1975); 99(141), 49-57 (1976). MSC: 53C45 53A05 PDFBibTeX XMLCite \textit{I. Kh. Sabitov}, Mat. Sb., Nov. Ser. 98(140), 113--129 (1976; Zbl 0325.53048)
Perlova, N. G.; Sabitov, I. H. Second-order rigidity of belts of revolution of class \(C^3\). (English) Zbl 0325.53003 Mosc. Univ. Math. Bull. 30, No. 5-6, 36-40 (1975). MSC: 53A05 53C45 PDFBibTeX XMLCite \textit{N. G. Perlova} and \textit{I. H. Sabitov}, Mosc. Univ. Math. Bull. 30, No. 5--6, 36--40 (1975; Zbl 0325.53003)
Perlova, N. G.; Sabitov, I. H. Second-order rigidity of the belts of revolution of class \(C^2\). (Russian) Zbl 0321.53003 Vestn. Mosk. Univ., Ser. I 30, No. 5, 47-52 (1975). MSC: 53A05 53C45 PDFBibTeX XMLCite \textit{N. G. Perlova} and \textit{I. H. Sabitov}, Vestn. Mosk. Univ., Ser. I 30, No. 5, 47--52 (1975; Zbl 0321.53003)
Sabitov, I. H. The rigidity of ”corrugated” surfaces of revolution. (English) Zbl 0288.53006 Math. Notes 14(1973), 854-857 (1974). MSC: 53A05 53C45 PDFBibTeX XMLCite \textit{I. H. Sabitov}, Math. Notes 14, 854--857 (1974; Zbl 0288.53006) Full Text: DOI
Sabitov, I. H. Über die Starrheit ’geriffelter’ Rotationsflächen. (Russian) Zbl 0283.53004 Mat. Zametki 14, 517-522 (1973). MSC: 53A05 53C45 PDFBibTeX XMLCite \textit{I. H. Sabitov}, Mat. Zametki 14, 517--522 (1973; Zbl 0283.53004)