Characterizations for an invariant submanifold of an almost α-cosymplectic (κ,μ,ν)-space to be totally geodesic

Author:

Atçeken Mehmet1

Affiliation:

1. aAksaray University, Faculty of Arts and Sciences, Department of Mathematics, Aksaray, TURKEY

Abstract

The aim of the present paper is to study some geometric conditions for an invariant submanifold of an almost ?-cosymplectic (?,?,?)-space to be totally geodesic by means of the curvature tensors.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference19 articles.

1. A. Bejancu and N. Papaghuic. Semi-Invariant submanifolds of a Sasakain manifold. An. tiint Univ. Al. I. Cuza. Iai. Sect. I. Mat.(N.S), 27, 1981, 163-170.

2. A. Carriazo and V. Martin-Molina. Almost Cosymplectic and almost Kenmotsu (κ,μ,ν)-spaces. Mediterr. J. Math.10 (2013), 1551-1571

3. A. De. A Note on the Paper ”On invariant submanifolds of LP-Sasakian manifolds”. Extracta Math. 28, 2013, no.1, 33-36.

4. A. Sarkar and M. Sen. On Invariant submanifolds of LP-Sasakain manifolds. Extracta Math. 27, 2012, no.1, 145-154.

5. C. Hu and Y. Wang. A Note Invariant Submanifolds of Trans-Sasakian Manifolds. Int. Electron. J. Geom. 9, 2016, no.2, 27-35.

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