Invariant and anti-invariant submanifolds of special quasi-sasakian manifolds

2017/10/25 by Hui, Shyamal Kumar, Roy, Joydeb
#53C15 #53C40 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1710.09080

Abstract

The present paper deals with the study of Chaki-pseudo parallel and Deszcz-pseudo parallel invariant submanifolds of SQ-Sasakian manifolds with respect to Levi-Civita connection and semisymmetric metric connection and obtain that these two classes are equivalent with a certain condition. Also the invariant and anti-invariant submanifolds of SQ-Sasakian manifolds with respect to Levi-Civita connection as well as semisymmetric metric connection whose metrics are Ricci solitons are studied.

Related

• Remarks on anti-quasi-Sasakian manifolds
• Anti-quasi-Sasakian manifolds
• Anti-Invariant Riemannian Submersions from Sasakian Manifolds
• Results on para-Sasakian manifold admitting a quarter symmetric metric connection
• Semi-invariant ξ^\bot-submanifolds of generalized quasi-Sasakian manifolds