Geodesic and F-geodesic exploration with a vertical generalized Berger-type deformed Sasaki metric on the tangent and φ-unit tangent bundles

Zagane, Abderrahim; GEZER, Aydın

doi:10.2298/fil2420143z

Geodesic and F-geodesic exploration with a vertical generalized Berger-type deformed Sasaki metric on the tangent and φ-unit tangent bundles

Zagane A., GEZER A.

Filomat, cilt.38, sa.20, ss.7143-7159, 2024 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 38 Sayı: 20
Basım Tarihi: 2024
Doi Numarası: 10.2298/fil2420143z
Dergi Adı: Filomat
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.7143-7159
Anahtar Kelimeler: Anti-paraKähler manifold, F-geodesics, tangent bundle, vertical generalized Berger-type deformed Sasaki metric
Atatürk Üniversitesi Adresli: Evet

Özet

In this research paper, we delve into a comprehensive exploration of geodesics and F-geodesics inquiries. Our investigation centers around a vertical generalized Berger-type deformed Sasaki metric, which is applied to both the tangent bundle TM and the φ-unit tangent bundle Tφ M. These bundles are 1 situated over an anti-paraKähler manifold (M2m, φ, g).