Semi-invariant Submanifolds in Metric Geometry of Endomorphisms

被引：2

作者：

Crasmareanu, Mircea ^{[1
]}

Bercu, Gabriel ^{[2
]}

机构：

[1] Univ Alexandru Ioan Cuza, Fac Math, Iasi 700506, Romania

[2] Univ Dunarea Jos, Dept Math, Galati 800008, Romania

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES | 2020年 / 90卷 / 01期

关键词：

(g; F; mu)-manifold: semi-invariant submanifold; (Integrable) distribution; CR-SUBMANIFOLDS;

D O I：

10.1007/s40010-018-0554-y

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Attempts have been made to introduce generalization of structured manifolds as the most general Riemannian metric g associated with an endomorphism F and initiate a study of their semi-invariant submanifolds. These submanifolds are generalizations of CR submanifolds of almost complex geometry and semi-invariant submanifolds of several interesting geometries (almost product, almost contact and others). Characterization of the integrability of both invariant and anti-invariant distribution are done; the special case when F is covariant constant with respect to g.

引用

页码：87 / 92

页数：6