Indian Journal of Industrial and Applied Mathematics
  • Year: 2019
  • Volume: 10
  • Issue: 1SI

Some Curvature Conditions on Nearly Cosymplectic Manifolds

  • Author:
  • Gülhan Ayar1,, Pelin Tekin2,, Nesip Aktan3,
  • Total Page Count: 8
  • Published Online: Jun 1, 2019
  • Page Number: 51 to 58

1Karamanoğglu Mehmetbey University, Kamil Ö zdağ Science Faculty, Department of Mathematics

2Trakya University, Faculty of Science, Department of Mathematics, Edirne/Turkey

3Necmettin Erbakan University, Faculty of Sciences, Department of Mathematics-Computer Sciences, Konya/Turkey

*(Corresponding author) Email: gulhanayar@gmail.com

**pelintekin@trakya.edu.tr

***nesipaktan@gmail.com

Abstract

The aim of this study is to show that η–Einstein nearly cosymplectic manifolds are constant curvature manifolds. Also in this work, we present a complete connected nearly cosymplectic manifold is M–projectively flat if and only if it is either isometric to the sphere Sn or the real projective space.

Keywords

53C15, 53D15, 53C25, Contact Manifolds, Cosymplectic Manifolds, Nearly Cosymplectic manifolds