Generalized Kenmotsu Manifolds


VANLI A. , SARI R.

COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, cilt.7, sa.4, ss.311-328, 2016 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 7 Konu: 4
  • Basım Tarihi: 2016
  • Doi Numarası: 10.2298/fil1614807w
  • Dergi Adı: COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS
  • Sayfa Sayıları: ss.311-328

Özet

In 1972, K. Kenmotsu studied a class of almost contact Riemannian manifolds which later are called a Kenmotsu manifold. In this paper, we study Kenmotsu manifolds with (2n + s)-dimensional s-contact metric manifold that we call generalized Kenmotsu manifolds. Necessary and sufficient condition is given for a s-contact metric manifold to be a generalized Kenmotsu manifold. We show that a generalized Kenmotsu manifold is a locally warped product space. In addition, we study some curvature properties of generalized Kenmotsu manifolds. Moreover, we obtain that the phi-sectional curvature of any semi-symmetric and projective semi-symmetric (2n + s)-dimensional generalized Kenmotsu manifold is -s.