Chen inequalities for submanifolds of complex space forms and Sasakian space forms endowed with semi-symmetric metric connections
type: Item
instance of: scholarly article
title: Chen inequalities for submanifolds of complex space forms and Sasakian space forms endowed with semi-symmetric metric connections
zbMATH Open document ID: 1231.53054
DOI: 10.1216/RMJ-2011-41-5-1653
author: Cihan Özgür
author: Adela-Gabriela Mihai
published in: Rocky Mountain Journal of Mathematics
publication date: 2011-10-18T00:00:00Z
review text: Chen inequalities are usually considered for submanifolds of some manifolds endowed with a Levi-Civita connection. In a previous paper [Taiwanese J. Math. 14, No.~4, 1465--1477 (2010; Zbl 1217.53055)], the authors obtained some Chen inequalities for submanifolds of a real space form endowed with a semi-symmetric metric connection. In the present paper, they obtain Chen inequalities for submanifolds immersed in a complex space-form or in a Sasakian space-form, both endowed with a semi-symmetric metric connection. The whole study is based on a well known relation between the Levi-Civita connection and a semi-symmetric metric connection established by \textit{K. Yano} [Rev. Roum. Math. Pures Appl. 15, 1579--1586 (1970; Zbl 0213.48401)].
reviewed by: Aurel Bejancu
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 53C55
zbMATH DE Number: 5959802
zbMATH Keywords: Chen inequalities
zbMATH Keywords: Levi-Civita connection
zbMATH Keywords: Sasakian space form
zbMATH Keywords: semi-symmetric metric connection
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5959802