A Study Concerning Berger Type Deformed Sasaki Metric on the Tangent Bundle


ALTUNBAŞ M. , Simsek R., GEZER A.

JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY, cilt.15, ss.435-447, 2019 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 15 Konu: 4
  • Basım Tarihi: 2019
  • Doi Numarası: 10.15407/mag15.04.435
  • Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY
  • Sayfa Sayısı: ss.435-447

Özet

Let TM be the tangent bundle over an almost anti-paraHermitian manifold endowed with Berger type deformed Sasaki metric g B s. In this paper, first, we obtain the Levi-Civita connection of this metric and study geodesics on TM. Secondly, we construct some almost anti-paraHermitian structures on TM and search conditions for these structures to be anti-paraKahler and quasi-anti-paraKahler. Finally, we present certain Riemannian curvature properties of (TM, g(BS)).