Submanifolds Weakly Associated with Graphs

Proceedings Mathematical Sciences

A Carriazo²  A Rodríguez-Hidalgo¹  L M Fernández¹ 

[1] $$;Department of Geometry and Topology, Faculty of Mathematics, University of Sevilla, Apartado de Correos 0, 00-Sevilla, Spain$$

关键词: Almost Hermitian manifold;    slant submanifold;    weak association;    graph theory.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We establish an interesting link between differential geometry and graph theory by defining submanifolds weakly associated with graphs. We prove that, in a local sense, every submanifold satisfies such an association, and other general results. Finally, we study submanifolds associated with graphs either in low dimensions or belonging to some special families.

【 授权许可】

Unknown