C-totally real pseudo-parallel submanifolds of S-space forms

Authors

  • Kumar Tiwari Sanjay
  • S. S. Shukla
  • S. P. Pandey

DOI:

https://doi.org/10.1285/i15900932v32n2p73

Keywords:

S-manifolds, Sasakian manifolds, contact manifolds, pseudo-parallel submanifolds

Abstract

Let M(c) be a (2n + s)−dimensional S-space form of constant f−sectional curvature c and M be an n-dimensional C-totally real, minimal submanifold of M(c). We prove that if M is pseudo parallel and Ln − 1/4 (n(c + 3s) + c − s) ≥ 0, then M is totally geodesic.

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Published

01-06-2013

Issue

Volume 32, Issue 2 (2012)

Section

Articoli

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