PROJECTIVE-UMBILIC POINTS OF CIRCULAR REAL HYPERSURFACES IN C2

被引：1

作者：

Barrett, David E. ^{[1
]}

Grundmeier, Dusty E. ^{[2
]}

机构：

[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

[2] Harvard Univ, Dept Math, Cambridge, MA 02138 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 148卷 / 12期

关键词：

GEOMETRY;

D O I：

10.1090/proc/15176

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the boundary of any bounded strongly pseudoconvex complete circular domain in C-2 must contain points that are exceptionally tangent to a projective image of the unit sphere.

引用

页码：5241 / 5248

页数：8

共 50 条

[1] A new invariant equation for umbilical points on real hypersurfaces in C2 and applications
Ebenfelt, Peter
Zaitsev, Dmitri
COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2019, 27 (07) : 1549 - 1582
[2] Affinely homogeneous real hypersurfaces of C2
Loboda, A. V.
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2013, 47 (02) : 113 - 126
[3] EXTRINSIC CIRCULAR TRAJECTORIES ON TOTALLY η-UMBILIC REAL HYPERSURFACES IN A COMPLEX HYPERBOLIC SPACE
Bao, Tuya
Adachi, Toshiaki
KODAI MATHEMATICAL JOURNAL, 2016, 39 (03) : 615 - 631
[4] DEGENERATE REAL HYPERSURFACES IN C2 WITH FEW AUTOMORPHISMS
Ebenfelt, Peter
Lamel, Bernhard
Zaitsev, Dmitri
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 361 (06) : 3241 - 3267
[5] Nonrigid spherical real analytic hypersurfaces in C2
Merker, Joel
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2010, 55 (12) : 1155 - 1182
[6] Different definitions of homogeneity of real hypersurfaces in C2
Loboda, AV
MATHEMATICAL NOTES, 1998, 64 (5-6) : 761 - 766
[7] A SHORT PROOF OF THE DIMENSION CONJECTURE FOR REAL HYPERSURFACES IN C2
Isaev, Alexander
Kruglikov, Boris
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 144 (10) : 4395 - 4399
[8] ON THE REAL-ANALYTICITY OF RIGID SPHERICAL HYPERSURFACES IN C2
Isaev, Alexander
Merker, Joel
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 147 (12) : 5251 - 5256
[9] Extrinsic circular trajectories on real hypersurfaces of type (A2) in a complex projective space
Liu, Xiaozhou
Bao, Tuya
Adachi, Toshiaki
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2022, 82
[10] ON C2 UMBILICAL HYPERSURFACES
Mantegazza, Carlo
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, 150 (04) : 1745 - 1748

← 1 2 3 4 5 →