Conformal vector fields and geometric solitons on the tangent bundle with the ciconia metric

GEZER, Aydın; Bilen, Lokman; De, Uday

doi:10.2298/fil2324193g

Conformal vector fields and geometric solitons on the tangent bundle with the ciconia metric

GEZER A., Bilen L., De U. C.

Filomat, cilt.37, sa.24, ss.8193-8204, 2023 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 37 Sayı: 24
Basım Tarihi: 2023
Doi Numarası: 10.2298/fil2324193g
Dergi Adı: Filomat
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
Sayfa Sayıları: ss.8193-8204
Anahtar Kelimeler: almost Ricci and Yamabe solitons, ciconia metric, conformal vector field, Tangent bundle
Atatürk Üniversitesi Adresli: Evet

Özet

Let (X2k, F, g) be an almost anti-paraHermitian manifold with an almost paracomplex structure F and a Riemannian metric g and let TX be its tangent bundle with the ciconia metric ˜g. The purpose of this paper is divided into two folds. The first one is to examine the curvature properties of the tangent bundle TX with the ciconia metric ˜g. The second one is to study conformal vector fields and almost Ricci and Yamabe solitons on the tangent bundle TX according to the ciconia metric ˜g.