Some inequalities on totally real submanifolds in locally conformal Kaehler space forms

In this article, we establish sharp relations between the sectional curvature and the shape operator and also between the k-Ricci curvature and the shape operator for a totally real submanifold in a locally conformal Kaehler space form of constant holomorphic sectional curvature with arbitrary codim...

Descripción completa

Detalles Bibliográficos
Autores: Carriazo Rubio, Alfonso, Kim, Young Ho, Yoon, Dae Won
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2004
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/48421
Acceso en línea:http://hdl.handle.net/11441/48421
https://doi.org/10.4134/JKMS.2004.41.5.795
Access Level:acceso abierto
Palabra clave:Mean curvature
Sectional curvature
Shape operator
k-Ricci curvature
Locally conformal Kaehler space form
Totally real submanifold
Descripción
Sumario:In this article, we establish sharp relations between the sectional curvature and the shape operator and also between the k-Ricci curvature and the shape operator for a totally real submanifold in a locally conformal Kaehler space form of constant holomorphic sectional curvature with arbitrary codimension.