Warped product pointwise bi-slant submanifolds of Kaehler manifolds

被引:65
作者
Chen, Bang-Yen [1 ]
Uddin, Siraj [2 ]
机构
[1] Michigan State Univ, Dept Math, 619 Red Cedar Rd, E Lansing, MI 48824 USA
[2] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia
来源
PUBLICATIONES MATHEMATICAE-DEBRECEN | 2018年 / 92卷 / 1-2期
关键词
slant submanifold; pointwise slant; pointwise bi-slant; warped product; Kaehler manifold; SASAKIAN SPACE-FORMS; CR-SUBMANIFOLDS; GEOMETRY;
D O I
10.5486/PMD.2018.7882
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Warped product manifolds have been studied for a long period of time. In contrast, the study of warped product submanifolds from extrinsic point of view was initiated by the first author around the beginning of this century in [7], [8]. Since then, the study of warped product submanifolds has been investigated by many geometers. The notion of slant submanifolds of almost Hermitian manifolds was introduced in [5]. Bi-slant submanifolds in almost contact metric manifolds were defined in [4] by J. L. CABRERIZO et al. In [26], we studied bi-slant submanifolds and warped product bi-slant submanifolds in Kaehler manifolds. In this article, we investigate warped product pointwise bi-slant submanifolds of Kaehler manifolds. Our main results extend several important results on warped product slant submanifolds obtained in [7], [21-23], [27].
引用
收藏
页码:183 / 199
页数:17
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