SOME GEOMETRICAL RESULTS ON NEARLY KAHLER FINSLER MANIFOLDS

被引：0

作者：

Nezhad, Akbar Dehghan ^{[1
]}

Beizavi, Sareh ^{[1
]}

Tayebi, Akbar ^{[2
]}

机构：

[1] Iran Univ Sci & Technol, Sch Math, Tehran 1684613114, Iran

[2] Univ Qom, Dept Math, Fac Sci, Qom, Iran

来源：

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2022年 / 37卷 / 02期

关键词：

Kahler structure; Nearly Kahler structure; Finsler metric; Landsberg metric;

D O I：

10.22190/FUMI210922020D

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This work is intended as an attempt to extend some results of nearly Kahlerian Finsler manifolds. We give a condition to generalized (a, b, J)-manifolds to be weakly Landsberg metric. Furthermore, we find the conditions under which a nearly Kahler Finsler manifold has relatively isotropic Landsberg curvature and relatively isotropic mean Landsberg curvature.

引用

页码：295 / 305

页数：11

共 50 条

[31] Bochner-Kodaira Techniques on Kahler Finsler Manifolds
Xiao, Jinxiu
Qiu, Chunhui
Zhong, Tongde
CHINESE ANNALS OF MATHEMATICS SERIES B, 2015, 36 (01) : 125 - 140
[32] Curvatures of strongly convex Kahler-Finsler manifolds
Li, Hongjun
Qiu, Chunhui
Zhong, Guozhu
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2023, 86
[33] BOCHNER TECHNIQUE ON STRONG KAHLER-FINSLER MANIFOLDS
Xiao Jinxiu
Zhong Tongde
Qiu Chunhui
ACTA MATHEMATICA SCIENTIA, 2010, 30 (01) : 89 - 106
[34] A Schwarz lemma for weakly Kahler-Finsler manifolds
Nie, Jun
Zhong, Chunping
ANNALI DI MATEMATICA PURA ED APPLICATA, 2022, 201 (04) : 1935 - 1964
[35] NEARLY KAHLER-MANIFOLDS ARE HOLOMORPHIC FOLIATIONS
APOSTOLOVA, LN
DOKLADI NA BOLGARSKATA AKADEMIYA NA NAUKITE, 1985, 38 (08): : 977 - 979
[36] NOTES ON STRICTLY NEARLY KAHLER EINSTEIN MANIFOLDS
Euh, Yunhee
Sekigawa, Kouei
COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, 2011, 64 (06): : 791 - 798
[37] Gravity and induced matter on nearly Kahler manifolds
Naderi, F.
Rezaei-Aghdam, A.
Darabi, F.
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2015, 30 (03):
[38] Global properties of toric nearly Kahler manifolds
Dixon, Kael
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2021, 59 (02) : 245 - 261
[39] The Hermitian Laplace Operator on Nearly Kahler Manifolds
Moroianu, Andrei
Semmelmann, Uwe
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2010, 294 (01) : 251 - 272
[40] On 6-Dimensional Nearly Kahler Manifolds
Watanabe, Yoshiyuki
Suh, Young Jin
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2010, 53 (03): : 564 - 570

← 1 2 3 4 5 →