Gorodski, Claudio Smooth manifolds. (English) Zbl 07235511 Compact Textbooks in Mathematics. Cham: Birkhäuser (ISBN 978-3-030-49774-3/pbk; 978-3-030-49775-0/ebook). xii, 154 p. (2020). Reviewer: Gabriel Eduard Vilcu (Ploieşti) MSC: 53-01 22E15 53B20 53B30 58A12 58A30 PDF BibTeX XML Cite \textit{C. Gorodski}, Smooth manifolds. Cham: Birkhäuser (2020; Zbl 07235511) Full Text: DOI
Higson, Nigel; Yi, Zelin Spinors and the tangent groupoid. (English) Zbl 1429.58018 Doc. Math. 24, 1677-1720 (2019). Reviewer: Yong Wang (Changchun) MSC: 58B34 58J20 PDF BibTeX XML Cite \textit{N. Higson} and \textit{Z. Yi}, Doc. Math. 24, 1677--1720 (2019; Zbl 1429.58018) Full Text: DOI arXiv
Honda, Atsufumi Complete flat fronts as hypersurfaces in Euclidean space. (English) Zbl 1396.53085 Proc. Japan Acad., Ser. A 94, No. 3, 25-30 (2018). MSC: 53C42 57R45 PDF BibTeX XML Cite \textit{A. Honda}, Proc. Japan Acad., Ser. A 94, No. 3, 25--30 (2018; Zbl 1396.53085) Full Text: DOI Euclid arXiv
Lee, John M. Introduction to smooth manifolds. 2nd revised ed. (English) Zbl 1258.53002 Graduate Texts in Mathematics 218. New York, NY: Springer (ISBN 978-1-4419-9981-8/hbk; 978-1-4419-9982-5/ebook). xvi, 708 p. (2013). Reviewer: Corina Mohorianu (Iaşi) MSC: 53-01 53-02 58-02 57-02 53Cxx 57Rxx 58Axx PDF BibTeX XML Cite \textit{J. M. Lee}, Introduction to smooth manifolds. 2nd revised ed. New York, NY: Springer (2013; Zbl 1258.53002) Full Text: DOI
Dragomir, Sorin; Perrone, Domenico Harmonic vector fields. Variational principles and differential geometry. (English) Zbl 1245.53002 Amsterdam: Elsevier (ISBN 978-0-12-415826-9/hbk). xiv, 508 p. (2012). Reviewer: Alessandro De Paris (Napoli) MSC: 53-02 53-01 58E20 53B20 53B35 53D10 32V20 53C43 53C15 53C25 PDF BibTeX XML Cite \textit{S. Dragomir} and \textit{D. Perrone}, Harmonic vector fields. Variational principles and differential geometry. Amsterdam: Elsevier (2012; Zbl 1245.53002)
Lee, Jeffrey M. Manifolds and differential geometry. (English) Zbl 1190.58001 Graduate Studies in Mathematics 107. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4815-9/hbk). xiv, 671 p. (2009). Reviewer: Miroslav Doupovec (Brno) MSC: 58A05 58A10 53C05 22E15 53C20 53B30 55R10 53Z05 58-01 53-01 PDF BibTeX XML Cite \textit{J. M. Lee}, Manifolds and differential geometry. Providence, RI: American Mathematical Society (AMS) (2009; Zbl 1190.58001)
Roulleau, Xavier The Fano surface of the Klein cubic threefold. (English) Zbl 1207.14045 J. Math. Kyoto Univ. 49, No. 1, Article ID 6, 113-129 (2009). Reviewer: Roberto Pignatelli (Trento) MSC: 14J50 14J29 14J70 32G20 PDF BibTeX XML Cite \textit{X. Roulleau}, J. Math. Kyoto Univ. 49, No. 1, Article ID 6, 113--129 (2009; Zbl 1207.14045) Full Text: DOI Link arXiv
Fatibene, Lorenzo; Francaviglia, Mauro Natural and gauge natural formalism for classical field theories. A geometric perspective including spinors and gauge theories. (English) Zbl 1138.81303 Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1703-0/hbk). xxi, 365 p. (2003). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 81-02 PDF BibTeX XML Cite \textit{L. Fatibene} and \textit{M. Francaviglia}, Natural and gauge natural formalism for classical field theories. A geometric perspective including spinors and gauge theories. Dordrecht: Kluwer Academic Publishers (2003; Zbl 1138.81303)
Lee, John M. Introduction to smooth manifolds. (English) Zbl 1030.53001 Graduate Texts in Mathematics. 218. New York, NY: Springer. xvii, 628 p. (2002). Reviewer: Mircea Craioveanu (Timisoara) MSC: 53-02 58-02 57-02 53Cxx 57Rxx 58Axx PDF BibTeX XML Cite \textit{J. M. Lee}, Introduction to smooth manifolds. New York, NY: Springer (2002; Zbl 1030.53001) Backlinks: MO
Oproiu, Vasile Differential geometry. (Geometrie diferenţială.) (Romanian) Zbl 1032.53001 Iaşi: Editura Universităţii “Alexandru Ioan Cuza”. 267 p. (2002). Reviewer: Valentin Boju (Montreal) MSC: 53-01 53Bxx 53Cxx PDF BibTeX XML Cite \textit{V. Oproiu}, Geometrie diferenţială (Romanian). Iaşi: Editura Universităţii ``Alexandru Ioan Cuza'' (2002; Zbl 1032.53001)
Taĭmanov, I. A. Lectures in differential geometry. (Lektsii po differentsial’noj geometrii.) (Russian) Zbl 1066.53001 Izhevsk: Institut Komp’yuternykh Issledovanij (ISBN 5-93972-105-2). 176 p. (2002). Reviewer: Victor Alexandrov (Novosibirsk) MSC: 53-01 53A04 53A05 58A05 53C20 22E15 PDF BibTeX XML Cite \textit{I. A. Taĭmanov}, Lektsii po differentsial'noj geometrii (Russian). Izhevsk: Institut Komp'yuternykh Issledovanij (2002; Zbl 1066.53001)
Pillay, Anand Differential fields. (English) Zbl 0998.12005 Hart, Bradd (ed.) et al., Lectures on algebraic model theory. Providence, RI: American Mathematical Society (AMS). Fields Inst. Monogr. 15, 1-45 (2002). Reviewer: C.Toffalori (Camerino) MSC: 12H05 03C60 12L12 PDF BibTeX XML Cite \textit{A. Pillay}, Fields Inst. Monogr. 15, 1--45 (2002; Zbl 0998.12005)
Fel’dman, K. E. An equivariant analog of the Poincaré-Hopf theorem. (English. Russian original) Zbl 1032.57026 J. Math. Sci., New York 113, No. 6, 906-914 (2003); translation from Zap. Nauchn. Semin. POMI 267, 303-318 (2000). Reviewer: Július Korbaš (Bratislava) MSC: 57R22 55N20 57R20 55N22 55R12 PDF BibTeX XML Cite \textit{K. E. Fel'dman}, J. Math. Sci., New York 113, No. 6, 906--914 (2000; Zbl 1032.57026); translation from Zap. Nauchn. Semin. POMI 267, 303--318 (2000) Full Text: DOI
Hiltunen, S. A Frobenius theorem for locally convex global analysis. (English) Zbl 0954.46041 Monatsh. Math. 129, No. 2, 109-117 (2000). Reviewer: Jean-Pierre Ezin (Porto-Novo) MSC: 46T05 58C15 58C20 58A30 58B10 46G05 PDF BibTeX XML Cite \textit{S. Hiltunen}, Monatsh. Math. 129, No. 2, 109--117 (2000; Zbl 0954.46041) Full Text: DOI
Hansen, Vagn Lundsgaard Fundamental concepts in modern analysis. (English) Zbl 0957.46001 Singapore: World Scientific. ix, 236 p. (1999). Reviewer: Sergei V.Rogosin (Minsk) MSC: 46-01 46Txx 46G05 53-01 54-01 58-01 47J30 PDF BibTeX XML Cite \textit{V. L. Hansen}, Fundamental concepts in modern analysis. Singapore: World Scientific (1999; Zbl 0957.46001)
Taĭmanov, I. A. Lectures on differential geometry. I. Curves and surfaces. Textbook. (Лекции по дифференциальной геометрии. I. Кривые и поверхности. Учебное пособие.) (Russian) Zbl 0924.53001 Novosibirsk: Novosibirskiĭ Gosudarstvennyĭ Universitet, 58 p. (1998). Reviewer: V. A. Alexandrov (Novosibirsk) MSC: 53-01 53A04 53A05 PDF BibTeX XML Cite \textit{I. A. Taĭmanov}, Лекции по дифференциальной геометрии. I. Кривые и поверхности. Учебное пособие (Russian). Novosibirsk: Novosibirskij Gosudarstvennyj Universitet (1998; Zbl 0924.53001)
Śniatycki, Jȩdrzej Nonholonomic Noether theorem and reduction of symmetries. (English) Zbl 0947.70013 Rep. Math. Phys. 42, No. 1-2, 5-23 (1998). Reviewer: Roland Wisk (Berlin) MSC: 70H33 70F25 37N05 37J15 37J60 PDF BibTeX XML Cite \textit{J. Śniatycki}, Rep. Math. Phys. 42, No. 1--2, 5--23 (1998; Zbl 0947.70013) Full Text: DOI
Peternell, Thomas Manifolds of semi-positive curvature. (English) Zbl 0873.14006 Catanese, F. (ed.) et al., Transcendental methods in algebraic geometry. Lectures given at the 3rd session of the Centro Internazionale Matematico Estivo (CIME), Cetraro, Italy, July 4–12, 1994. Cetraro: Springer. Lect. Notes Math. 1646, 98-142 (1996). Reviewer: Lilia Del Riego (San Luis Potosí) MSC: 14C20 32Q15 53C55 PDF BibTeX XML Cite \textit{T. Peternell}, Lect. Notes Math. 1646, 98--142 (1996; Zbl 0873.14006)
Manivel, Laurent Vanishing theorems on certain projective varieties. (Théorèmes d’annulation sur certaines variétés projectives.) (French) Zbl 0883.14004 Comment. Math. Helv. 71, No. 3, 402-425 (1996). Reviewer: I.V.Dolgachev (Ann Arbor) MSC: 14F17 14M25 14F05 PDF BibTeX XML Cite \textit{L. Manivel}, Comment. Math. Helv. 71, No. 3, 402--425 (1996; Zbl 0883.14004) Full Text: DOI EuDML
Rajan, C. S. Vanishing theorems for cohomologies of automorphic vector bundles. (English) Zbl 0852.32018 J. Differ. Geom. 43, No. 2, 376-409 (1996). Reviewer: E.Ballico (Povo) MSC: 32L20 53C35 PDF BibTeX XML Cite \textit{C. S. Rajan}, J. Differ. Geom. 43, No. 2, 376--409 (1996; Zbl 0852.32018) Full Text: DOI
Asada, Akira Non commutative geometry of \(GL_ p\)-bundles. (English) Zbl 0841.46051 Tamássy, L. (ed.) et al., New developments in differential geometry. Proceedings of the colloquium on differential geometry, Debrecen, Hungary, July 26-30, 1994. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 350, 25-49 (1996). MSC: 46L87 46L85 PDF BibTeX XML Cite \textit{A. Asada}, in: New developments in differential geometry. Proceedings of the colloquium on differential geometry, Debrecen, Hungary, July 26-30, 1994. Dordrecht: Kluwer Academic Publishers. 25--49 (1996; Zbl 0841.46051)
Borisovich, Y. G.; Bliznyakov, N. M.; Fomenko, T. N.; Izrailevich, Y. A. Introduction to differential and algebraic topology. Compl. rev. 2nd ed. (English) Zbl 0836.57001 Kluwer Texts in the Mathematical Sciences. 9. Dordrecht: Kluwer Academic Publishers. ix, 492 p. (1995). Reviewer: F.W.Bauer (Frankfurt am Main) MSC: 57-01 55-01 54-01 PDF BibTeX XML Cite \textit{Y. G. Borisovich} et al., Introduction to differential and algebraic topology. Compl. rev. 2nd ed. Dordrecht: Kluwer Academic Publishers (1995; Zbl 0836.57001)
Bismut, Jean-Michel; Lott, John Flat vector bundles, direct images and analytic torsion forms. (Fibrés plats, images directes et formes de torsion analytique.) (French. Abridged English version) Zbl 0780.57023 C. R. Acad. Sci., Paris, Sér. I 316, No. 5, 477-482 (1993). Reviewer: W.Lück (Mainz) MSC: 57R57 57R19 58J52 PDF BibTeX XML Cite \textit{J.-M. Bismut} and \textit{J. Lott}, C. R. Acad. Sci., Paris, Sér. I 316, No. 5, 477--482 (1993; Zbl 0780.57023)
Nuebel, Frank Integration of generalized bundles of linear subspaces, horizontal structures and associated processes of differentiation. (Integration von verallgemeinerten Untervektorraumbündeln, horizontale Strukturen und damit verbundene Differentiationsprozesse.) (German) Zbl 0804.53043 Köln: Univ. Köln, Math.-Naturwiss. Fak. (1992). Reviewer: W.O.Vogel (Karlsruhe) MSC: 53C12 57R22 58A30 PDF BibTeX XML
Margalef-Roig, Juan; Outerelo Dominguez, Enrique Differential topology. Transl. from the Spanish. (English) Zbl 0760.57001 North-Holland Mathematics Studies. 173. Amsterdam etc.: North-Holland. xv, 603 p. (1992). Reviewer: D.Andrica (Cluj-Napoca) MSC: 57-01 57Rxx 58-01 PDF BibTeX XML Cite \textit{J. Margalef-Roig} and \textit{E. Outerelo Dominguez}, Differential topology. Transl. from the Spanish. Amsterdam etc.: North-Holland (1992; Zbl 0760.57001)
Trenčevski, Kostadin On some consequences of the generalized Gauss-Bonnet theorem. (English) Zbl 0795.53040 Mat. Bilt. 14, 69-72 (1990). MSC: 53C20 53C65 57R20 PDF BibTeX XML Cite \textit{K. Trenčevski}, Mat. Bilt. 14, 69--72 (1990; Zbl 0795.53040)
Lawson, H. Blaine jun.; Michelsohn, Marie-Louise Spin geometry. (English) Zbl 0688.57001 Princeton Mathematical Series. 38. Princeton, NJ: Princeton University Press. xii, 427 p. $ 55.00 (1989). Reviewer: K.H.Mayer MSC: 57-02 57R15 53C20 58-02 57R20 57R42 57R22 58J32 58J20 15A66 58D17 PDF BibTeX XML Cite \textit{H. B. Lawson jun.} and \textit{M.-L. Michelsohn}, Spin geometry. Princeton, NJ: Princeton University Press (1989; Zbl 0688.57001)
Cariñena, José F.; López, Carlos; Martínez, Eduardo A new approach to the converse of Noether’s theorem. (English) Zbl 0739.58016 J. Phys. A, Math. Gen. 22, No. 22, 4777-4786 (1989). Reviewer: I.J.Dorfman (Moskva) MSC: 37J99 37C80 58A20 70H03 PDF BibTeX XML Cite \textit{J. F. Cariñena} et al., J. Phys. A, Math. Gen. 22, No. 22, 4777--4786 (1989; Zbl 0739.58016) Full Text: DOI
Margalef Roig, Juan; Outerelo Domínguez, Enrique Differential topology. (Topologîa diferencial.) (Spanish) Zbl 0633.57001 Madrid: Consejo Superior de Investigaciones Cientîficas. 453 p. (1988). Reviewer: D.Andrica MSC: 57-01 57Rxx 58-01 PDF BibTeX XML Cite \textit{J. Margalef Roig} and \textit{E. Outerelo Domínguez}, Topologîa diferencial (Spanish). Madrid: Consejo Superior de Investigaciones Científicas (1988; Zbl 0633.57001)
Tamura, Ichiro Differential topology. I-III. 3rd ed. (Japanese) Zbl 0665.57001 Iwanami Shoten Kiso Sūgaku, 20, Kikagaku, iii. Tokyo: Iwanami Shoten. v, vi, vii, 449 p. (1988). Reviewer: Y.Shikata MSC: 57-01 57-XX 55R40 PDF BibTeX XML Cite \textit{I. Tamura}, Differential topology. I-III. 3rd ed (Japanese). 3rd ed. Tokyo: Iwanami Shoten (1988; Zbl 0665.57001)
Konderak, Jerzy Some corollaries of Gromov’s theorems. (English) Zbl 0629.57022 Zesz. Nauk. Uniw. Jagielloń. 750, Acta Math. 26, 241-259 (1987). MSC: 57R99 57R30 58A30 57R42 PDF BibTeX XML Cite \textit{J. Konderak}, Zesz. Nauk. Uniw. Jagielloń. [...], Acta Math. 750(26), 241--259 (1987; Zbl 0629.57022)
Batlle, C.; Gomis, J.; Pons, J. M.; Roman-Roy, N. Equivalence between the Lagrangian and Hamiltonian formalism for constrained systems. (English) Zbl 0613.70012 J. Math. Phys. 27, 2953-2962 (1986). Reviewer: Y. Kozai MSC: 70F20 70H45 37J99 PDF BibTeX XML Cite \textit{C. Batlle} et al., J. Math. Phys. 27, 2953--2962 (1986; Zbl 0613.70012) Full Text: DOI
Curtis, W. D.; Miller, F. R. Differential manifolds and theoretical physics. (English) Zbl 0566.57001 Pure and Applied Mathematics, 116. Orlando etc.: Academic Press, Inc. (Harcourt Brace Jovanovich, Publishers). XIX, 394 p. (1985). Reviewer: A.G.Ramm MSC: 57-01 58Axx 70-01 37C10 81T08 70Gxx 53C80 PDF BibTeX XML
Kirichenko, V. F. Tangent bundles from the point of view of Hermitian geometry. (English) Zbl 0572.53034 Sov. Math. 28, No. 7, 63-74 (1984). MSC: 53C15 53C55 PDF BibTeX XML Cite \textit{V. F. Kirichenko}, Sov. Math. 28, No. 7, 63--74 (1984; Zbl 0572.53034)
Kirichenko, V. F. Generalized Hermitian geometry in a tangent bundle. (Russian. English summary) Zbl 0553.53022 Izv. Akad. Nauk Ehst. SSR, Fiz. Mat. 33, 363-368 (1984). Reviewer: J.Vanžura MSC: 53C15 53C55 PDF BibTeX XML Cite \textit{V. F. Kirichenko}, Izv. Akad. Nauk Èst. SSR, Fiz., Mat. 33, 363--368 (1984; Zbl 0553.53022)
Kirichenko, V. F. Tangent bundle from the point of view of generalized Hermitian geometry. (Russian) Zbl 0553.53021 Izv. Vyssh. Uchebn. Zaved., Mat. 1984, No. 7(266), 50-58 (1984). Reviewer: J.Vanžura MSC: 53C15 53C55 PDF BibTeX XML Cite \textit{V. F. Kirichenko}, Izv. Vyssh. Uchebn. Zaved., Mat. 1984, No. 7(266), 50--58 (1984; Zbl 0553.53021)
Toth, G. Harmonic submersions onto nonnegatively curved manifolds. (English) Zbl 0494.57012 Acta Math. Acad. Sci. Hung. 39, 49-53 (1982). MSC: 57R30 58E20 58A30 PDF BibTeX XML Cite \textit{G. Toth}, Acta Math. Acad. Sci. Hung. 39, 49--53 (1982; Zbl 0494.57012) Full Text: DOI
Laksov, Dan Indecomposability of restricted tangent bundles. (English) Zbl 0489.14008 Astérisque 87-88, 207-219 (1981). MSC: 14F10 14E25 14H45 PDF BibTeX XML
Schultz, Reinhard Spherelike G-manifolds with exotic equivariant tangent bundles. (English) Zbl 0453.57028 Studies in Algebraic Topology, Adv. Math., Suppl. Stud. 5, 1-38 (1979). MSC: 57S17 57S25 57R65 57R67 PDF BibTeX XML