Yıldırım, Handan; Vrancken, Luc \(\delta^{\sharp}(2,2)\)-ideal centroaffine hypersurfaces of dimension 4. (English) Zbl 07788920 Taiwanese J. Math. 27, No. 6, 1075-1104 (2023). MSC: 53A15 53A07 53A55 PDFBibTeX XMLCite \textit{H. Yıldırım} and \textit{L. Vrancken}, Taiwanese J. Math. 27, No. 6, 1075--1104 (2023; Zbl 07788920) Full Text: DOI
Cheng, Xiuxiu; Hu, Zejun; Vrancken, Luc Every centroaffine Tchebychev hyperovaloid is ellipsoid. (English) Zbl 1484.53033 Pac. J. Math. 315, No. 1, 27-44 (2021). Reviewer: Huili Liu (Shenyang) MSC: 53A15 53C23 53C24 PDFBibTeX XMLCite \textit{X. Cheng} et al., Pac. J. Math. 315, No. 1, 27--44 (2021; Zbl 1484.53033) Full Text: DOI arXiv
Antić, Miroslava; Li, Haizhong; Vrancken, Luc; Wang, Xianfeng Affine hypersurfaces with constant sectional curvature. (English) Zbl 1467.53010 Pac. J. Math. 310, No. 2, 275-302 (2021). Reviewer: Friedrich Manhart (Wien) MSC: 53A15 53B20 53B25 PDFBibTeX XMLCite \textit{M. Antić} et al., Pac. J. Math. 310, No. 2, 275--302 (2021; Zbl 1467.53010) Full Text: DOI
Cheng, Xiuxiu; Hu, Zejun; Moruz, Marilena; Vrancken, Luc On product affine hyperspheres in \(\mathbb{R}^{n+1}\). (English) Zbl 1467.53011 Sci. China, Math. 63, No. 10, 2055-2078 (2020). Reviewer: Huili Liu (Shenyang) MSC: 53A15 53B25 53C25 PDFBibTeX XMLCite \textit{X. Cheng} et al., Sci. China, Math. 63, No. 10, 2055--2078 (2020; Zbl 1467.53011) Full Text: DOI arXiv
Yıldırım, Handan; Vrancken, Luc \(\delta^{\sharp}(2,2)\)-ideal centroaffine hypersurfaces of dimension 5. (English) Zbl 1396.53014 Taiwanese J. Math. 21, No. 2, 283-304 (2017). Reviewer: Marcos Craizer (Rio de Janeiro) MSC: 53A15 53C42 53C40 PDFBibTeX XMLCite \textit{H. Yıldırım} and \textit{L. Vrancken}, Taiwanese J. Math. 21, No. 2, 283--304 (2017; Zbl 1396.53014) Full Text: DOI Euclid
Salah, Abdelouahab Chikh; Vrancken, Luc Four-dimensional locally strongly convex homogeneous affine hypersurfaces. (English) Zbl 1369.53012 J. Geom. 108, No. 1, 119-147 (2017). Reviewer: Marcos Craizer (Rio de Janeiro) MSC: 53A15 PDFBibTeX XMLCite \textit{A. C. Salah} and \textit{L. Vrancken}, J. Geom. 108, No. 1, 119--147 (2017; Zbl 1369.53012) Full Text: DOI Link
Hu, Zejun; Li, Haizhong; Vrancken, Luc On four-dimensional Einstein affine hyperspheres. (English) Zbl 1356.53013 Differ. Geom. Appl. 50, 20-33 (2017). Reviewer: Hui Li Liu (Shenyang) MSC: 53A15 53B25 53C25 PDFBibTeX XMLCite \textit{Z. Hu} et al., Differ. Geom. Appl. 50, 20--33 (2017; Zbl 1356.53013) Full Text: DOI
Moruz, Marilena; Vrancken, Luc A classification of isotropic affine hyperspheres. (English) Zbl 1350.53019 Int. J. Math. 27, No. 9, Article ID 1650074, 41 p. (2016). Reviewer: Atsushi Fujioka (Osaka) MSC: 53A15 PDFBibTeX XMLCite \textit{M. Moruz} and \textit{L. Vrancken}, Int. J. Math. 27, No. 9, Article ID 1650074, 41 p. (2016; Zbl 1350.53019) Full Text: DOI
Antić, Miroslava; Hu, Ze Jun; Li, Ce Ce; Vrancken, Luc Characterization of the generalized Calabi composition of affine hyperspheres. (English) Zbl 1329.53013 Acta Math. Sin., Engl. Ser. 31, No. 10, 1531-1554 (2015). Reviewer: Huili Liu (Shenyang) MSC: 53A15 53B20 53B25 PDFBibTeX XMLCite \textit{M. Antić} et al., Acta Math. Sin., Engl. Ser. 31, No. 10, 1531--1554 (2015; Zbl 1329.53013) Full Text: DOI Link
Birembaux, Olivier; Vrancken, Luc Isotropic affine hypersurfaces of dimension 5. (English) Zbl 1312.53013 J. Math. Anal. Appl. 417, No. 2, 918-962 (2014). Reviewer: Huili Liu (Shenyang) MSC: 53A15 PDFBibTeX XMLCite \textit{O. Birembaux} and \textit{L. Vrancken}, J. Math. Anal. Appl. 417, No. 2, 918--962 (2014; Zbl 1312.53013) Full Text: DOI
Hu, Zejun; Li, Cece; Li, Haizhong; Vrancken, Luc The classification of 4-dimensional non-degenerate affine hypersurfaces with parallel cubic form. (English) Zbl 1229.53009 J. Geom. Phys. 61, No. 11, 2035-2057 (2011). Reviewer: Huili Liu (Shenyang) MSC: 53A15 53B25 53B30 PDFBibTeX XMLCite \textit{Z. Hu} et al., J. Geom. Phys. 61, No. 11, 2035--2057 (2011; Zbl 1229.53009) Full Text: DOI
Hu, Zejun; Li, Cece; Li, Haizhong; Vrancken, Luc Lorentzian affine hypersurfaces with parallel cubic form. (English) Zbl 1223.53010 Result. Math. 59, No. 3-4, 577-620 (2011). Reviewer: Krishan Lal Duggal (Windsor, Ontario) MSC: 53A15 53B25 53B30 PDFBibTeX XMLCite \textit{Z. Hu} et al., Result. Math. 59, No. 3--4, 577--620 (2011; Zbl 1223.53010) Full Text: DOI
Hu, Zejun; Li, Haizhong; Simon, Udo; Vrancken, Luc On locally strongly convex affine hypersurfaces with parallel cubic form. I. (English) Zbl 1262.53008 Differ. Geom. Appl. 27, No. 2, 188-205 (2009). MSC: 53A15 53C40 PDFBibTeX XMLCite \textit{Z. Hu} et al., Differ. Geom. Appl. 27, No. 2, 188--205 (2009; Zbl 1262.53008) Full Text: DOI
Martínez, A.; Milán, F.; Vrancken, L. Affine complete locally convex hypersurfaces. (English) Zbl 1084.53011 Ann. Global Anal. Geom. 28, No. 1, 35-57 (2005). Reviewer: Kurt Leichtweiß (Stuttgart) MSC: 53A15 PDFBibTeX XMLCite \textit{A. Martínez} et al., Ann. Global Anal. Geom. 28, No. 1, 35--57 (2005; Zbl 1084.53011) Full Text: DOI
Vrancken, Luc Rigidity of affine hypersurfaces with rank 1 shape operator. (English) Zbl 1058.53009 Int. J. Math. 14, No. 3, 211-234 (2003). Reviewer: Friedrich Manhart (Wien) MSC: 53A15 53C24 53B05 PDFBibTeX XMLCite \textit{L. Vrancken}, Int. J. Math. 14, No. 3, 211--234 (2003; Zbl 1058.53009) Full Text: DOI
Dillen, Franki; Verbouwe, Gerd; Vrancken, Luc Cubic form geometry for immersions in centro-affine and graph hypersurfaces. (English) Zbl 1045.53007 Result. Math. 43, No. 1-2, 88-95 (2003). Reviewer: Udo Simon (Berlin) MSC: 53A15 53B25 PDFBibTeX XMLCite \textit{F. Dillen} et al., Result. Math. 43, No. 1--2, 88--95 (2003; Zbl 1045.53007) Full Text: DOI
Vrancken, Luc Three dimensional affine hyperspheres generated by two dimensional partial differential equations. (English) Zbl 1003.53014 Math. Nachr. 237, 129-146 (2002). Reviewer: Udo Simon (Berlin) MSC: 53A15 35Q53 35Q51 58J60 PDFBibTeX XMLCite \textit{L. Vrancken}, Math. Nachr. 237, 129--146 (2002; Zbl 1003.53014) Full Text: DOI
Magid, M.; Vrancken, L. Affine surfaces in \(\mathbb{R}^5\) with zero cubic form. (English) Zbl 1028.53012 Differ. Geom. Appl. 14, No. 2, 125-136 (2001). Reviewer: Huafei Sun (Beijing) MSC: 53A15 53B30 PDFBibTeX XMLCite \textit{M. Magid} and \textit{L. Vrancken}, Differ. Geom. Appl. 14, No. 2, 125--136 (2001; Zbl 1028.53012) Full Text: DOI
Magid, Martin; Vrancken, Luc Affine translation surfaces with constant sectional curvature. (English) Zbl 0968.53011 J. Geom. 68, No. 1-2, 192-199 (2000). Reviewer: F.Manhart (Wien) MSC: 53A15 53A07 PDFBibTeX XMLCite \textit{M. Magid} and \textit{L. Vrancken}, J. Geom. 68, No. 1--2, 192--199 (2000; Zbl 0968.53011) Full Text: DOI
Kriele, Marcus; Vrancken, Luc Lorentzian affine hyperspheres with constant affine sectional curvature. (English) Zbl 0998.53006 Trans. Am. Math. Soc. 352, No. 4, 1581-1599 (2000). MSC: 53A15 53A40 PDFBibTeX XMLCite \textit{M. Kriele} and \textit{L. Vrancken}, Trans. Am. Math. Soc. 352, No. 4, 1581--1599 (2000; Zbl 0998.53006) Full Text: DOI
Bergen, E.; Ramakers, E.; Vrancken, L. The Magid-Ryan conjecture for \(4\)-dimensional affine spheres. (English) Zbl 0956.53010 Abh. Math. Semin. Univ. Hamb. 69, 139-157 (1999). Reviewer: K.Leichtweiß (Stuttgart) MSC: 53A15 PDFBibTeX XMLCite \textit{E. Bergen} et al., Abh. Math. Semin. Univ. Hamb. 69, 139--157 (1999; Zbl 0956.53010) Full Text: DOI
Magid, M.; Vrancken, L. Affine translation surfaces. (English) Zbl 0955.53009 Result. Math. 35, No. 1-2, 134-144 (1999). Reviewer: Liu Hui Li (Shenyang) MSC: 53A15 PDFBibTeX XMLCite \textit{M. Magid} and \textit{L. Vrancken}, Result. Math. 35, No. 1--2, 134--144 (1999; Zbl 0955.53009) Full Text: DOI
Abdalla, B. E.; Dillen, F.; Vrancken, L. Affine homogeneous surfaces in \(\mathbb{R}^ 3\) with vanishing Pick invariant. (English) Zbl 0890.53008 Abh. Math. Semin. Univ. Hamb. 67, 105-115 (1997). Reviewer: Wang Changping (Beijing) MSC: 53A15 PDFBibTeX XMLCite \textit{B. E. Abdalla} et al., Abh. Math. Semin. Univ. Hamb. 67, 105--115 (1997; Zbl 0890.53008) Full Text: DOI