THE EULER CHARACTERISTIC OF A CERTAIN CLASS OF PROJECTIVELY FLAT MANIFOLDS

被引：4

作者：

KIM, HU ^{[1
]}

LEE, HK ^{[1
]}

机构：

[1] SEOUL NATL UNIV,COLL NAT SCI,DEPT MATH,SEOUL 151742,SOUTH KOREA

来源：

TOPOLOGY AND ITS APPLICATIONS | 1991年 / 40卷 / 02期

关键词：

EULER CHARACTERISTIC; PROJECTIVELY FLAT MANIFOLD; AFFINELY FLAT MANIFOLD; POLYHEDRAL GAUSS-BONNET FORMULA;

D O I：

10.1016/0166-8641(91)90051-M

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Euler characteristic of a projectively flat manifold whose developing image lies in an affine subspace of the n-dimensional real projective space is shown to be zero when its fundamental group is amenable, using a polyhedral Gauss-Bonnet formula.

引用

页码：195 / 201

页数：7

共 50 条

[31] ON A CLASS OF PROJECTIVELY RICCI-FLAT DOUGLAS METRICS
Zhu, Hongmei
HOUSTON JOURNAL OF MATHEMATICS, 2022, 48 (01): : 91 - 109
[32] On a class of locally projectively flat Finsler metrics (II)
Feng, Yali
Xia, Qiaoling
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2019, 62 : 39 - 59
[33] On a class of projectively Ricci-flat Finsler metrics
Zhu, Hongmei
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2020, 73
[34] LOCALLY CONFORMALLY FLAT 4-MANIFOLDS AND 6-MANIFOLDS OF POSITIVE SCALAR CURVATURE AND POSITIVE EULER CHARACTERISTIC
GURSKY, MJ
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1994, 43 (03) : 747 - 774
[35] Conformally-projectively flat trans-Sasakian statistical manifolds
Kazan, Ahmet
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 535
[36] Projectively flat surfaces, null parallel distributions, and conformally symmetric manifolds
Derdzinski, Andrzej
Roter, Witold
TOHOKU MATHEMATICAL JOURNAL, 2007, 59 (04) : 565 - 602
[37] On Euler characteristic and fundamental groups of compact manifolds
Chen, Bing-Long
Yang, Xiaokui
MATHEMATISCHE ANNALEN, 2021, 381 (3-4) : 1723 - 1743
[38] Localizable invariants of combinatorial manifolds and Euler characteristic
Li Yu
Archiv der Mathematik, 2014, 102 : 191 - 200
[39] The Universal Euler Characteristic of V-Manifolds
Gusein-Zade, S. M.
Luengo, I.
Melle-Hernandez, A.
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2018, 52 (04) : 297 - 307
[40] Manifolds with Odd Euler Characteristic and Higher Orientability
Hoekzema, Renee S.
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2020, 2020 (14) : 4496 - 4511

← 1 2 3 4 5 →