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

ALTUNBAŞ M., ŞİMŞEK R., GEZER A.

JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY, cilt.15, sa.4, ss.435-447, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 4
  • Basım Tarihi: 2019
  • Doi Numarası: 10.15407/mag15.04.435
  • Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.435-447
  • Anahtar Kelimeler: Berger type deformed Sasaki metric, paracomplex structure, geodesics, tangent bundle, RIEMANNIAN METRICS, NATURAL METRICS, GEOMETRY
  • Atatürk Üniversitesi Adresli: Evet

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)).