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2009 SUBMANIFOLDS OF GENERALIZED SASAKIAN SPACE FORMS
Pablo Alegre, Alfonso Carriazo
Taiwanese J. Math. 13(3): 923-941 (2009). DOI: 10.11650/twjm/1500405448

Abstract

In the present paper submanifolds of generalized Sasakian-spaceforms are studied. We focus on almost semi-invariant submanifolds, these generalize invariant, anti-invariant, and slant submanifolds. Sectional curvatures, Ricci tensor and scalar curvature are also studied. The paper finishes with some results about totally umbilical submanifolds.

Citation

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Pablo Alegre. Alfonso Carriazo. "SUBMANIFOLDS OF GENERALIZED SASAKIAN SPACE FORMS." Taiwanese J. Math. 13 (3) 923 - 941, 2009. https://doi.org/10.11650/twjm/1500405448

Information

Published: 2009
First available in Project Euclid: 18 July 2017

zbMATH: 1176.53047
MathSciNet: MR2526347
Digital Object Identifier: 10.11650/twjm/1500405448

Subjects:
Primary: 53C25 , 53C40

Keywords: almost contact metric manifold , almost semi-invariant submanifold , generalized Sasakian space form

Rights: Copyright © 2009 The Mathematical Society of the Republic of China

Vol.13 • No. 3 • 2009
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