Riemannian manifolds admitting a new type of semisymmetric nonmetric connection


Chaubey S. K. , YILDIZ A.

TURKISH JOURNAL OF MATHEMATICS, cilt.43, ss.1887-1904, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 43 Konu: 4
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3906/mat-1902-2
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.1887-1904

Özet

We define a new type of semisymmetric nonmetric connection on a Riemannian manifold and establish its existence. It is proved that such connection on a Riemannian manifold is projectively invariant under certain conditions. We also find many basic results of the Riemannian manifolds and study the properties of group manifolds and submanifolds of the Riemannian manifolds with respect to the semisymmetric nonmetric connection. To validate our findings, we construct a nontrivial example of a 3-dimensional Riemannian manifold equipped with a semisymmetric nonmetric connection.