Jacobi结构算子上具有两个广义条件的非平坦复空间形式的实超曲面

IF 0.5 4区数学 Q3 MATHEMATICS

Advances in Geometry Pub Date : 2021-06-24 DOI:10.1515/advgeom-2021-0015

Theoharis Theofanidis

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引用次数: 0

摘要

摘要我们的目的是对Kaehler复空间形式Mn(c)中满足两个条件的实超曲面M进行分类:φl=lφ， $\varphi l=l\varphi ,$其中l=R(⋅，ξ)ξ， φ $l=R(\cdot ,\xi )\xi \text{ and }\varphi $是M的几乎接触度量结构，(∇ξl)X= $\left( {{\nabla }_{\xi }}l \right)X=$ ω(X)ξ，其中ω(X)是1-form, X是M上的向量场。这两个条件意味着M是Hopf超曲面，ω = 0。

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Real hypersurfaces of non-flat complex space forms with two generalized conditions on the Jacobi structure operator

Abstract We aim to classify the real hypersurfaces M in a Kaehler complex space form Mn(c) satisfying the two conditions φl=lφ, $\varphi l=l\varphi ,$where l=R(⋅,ξ)ξ and φ $l=R(\cdot ,\xi )\xi \text{ and }\varphi $is the almost contact metric structure of M, and (∇ξl)X= $\left( {{\nabla }_{\xi }}l \right)X=$ω(X)ξ, where where ω(X) is a 1-form and X is a vector field on M. These two conditions imply that M is a Hopf hypersurface and ω = 0.

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来源期刊

Advances in Geometry 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Geometry is a mathematical journal for the publication of original research articles of excellent quality in the area of geometry. Geometry is a field of long standing-tradition and eminent importance. The study of space and spatial patterns is a major mathematical activity; geometric ideas and geometric language permeate all of mathematics.