NONEXISTENCE OF 4-DIMENSIONAL ALMOST KAEHLER MANIFOLDS OF CONSTANT CURVATURE

被引：12

作者：

BLAIR, DE

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1990年 / 110卷 / 04期

关键词：

ALMOST KAEHLER MANIFOLDS; CONSTANT CURVATURE; QUATERNIONIC ANALYSIS; LEFT REGULAR FUNCTION;

D O I：

10.2307/2047753

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that in dimension 4 there are no almost Kaehler manifolds of constant curvature unless the constant is 0, in which case the manifold is Kaehlerian. This was previously shown in dimensions greater-than-or-equal-to 8 by Z. Olszak and remains open in dimension 6.

引用

页码：1033 / 1039

页数：7

共 50 条

[31] KAEHLER MANIFOLDS OF POSITIVE CURVATURE OPERATOR
OGIUE, K
TACHIBANA, S
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1980, 78 (04) : 548 - 550
[32] partial derivative-Harmonic forms on 4-dimensional almost-Hermitian manifolds
Tardini, Nicoletta
Tomassini, Adriano
MATHEMATICAL RESEARCH LETTERS, 2023, 30 (05)
[33] MINIMAL-SURFACES WITH CONSTANT CURVATURE IN 4-DIMENSIONAL SPACE-FORMS
KENMOTSU, K
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 89 (01) : 133 - 138
[34] Almost Contact Kahler Manifolds of Constant Holomorphic Sectional Curvature
Galaev, S. V.
RUSSIAN MATHEMATICS, 2014, 58 (08) : 35 - 42
[35] Almost Quaternionic Structures on Quaternionic Kaehler Manifolds
F. Özdemir
Bulletin of the Malaysian Mathematical Sciences Society, 2015, 38 : 1 - 13
[36] Almost hypercomplex pseudo-Hermitian manifolds and a 4-dimensional Lie group with such structure
Gribachev, Kostadin
Manev, Mancho
JOURNAL OF GEOMETRY, 2008, 88 (1-2) : 41 - 52
[37] Almost Quaternionic Structures on Quaternionic Kaehler Manifolds
Ozdemir, F.
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2015, 38 (01) : 1 - 13
[38] On the classification of 4-dimensional (m, ρ)-quasi-Einstein manifolds with harmonic Weyl curvature
Shin, Jinwoo
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2017, 51 (04) : 379 - 399
[39] Symmetries of the curvature, Weyl conformal and Weyl projective tensors on 4-dimensional Lorentz manifolds
Hall, Graham
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE DIFFERENTIAL GEOMETRY, DYNAMICAL SYSTEMS, 2008, : 89 - 98
[40] NEW EXAMPLES OF 4-DIMENSIONAL MANIFOLDS
ROKHLIN, VA
DOKLADY AKADEMII NAUK SSSR, 1965, 162 (02): : 273 - &

← 1 2 3 4 5 →