$\\mathcal{D}$-Homothetic Deformations of Basic Classes of Almost Contact B-metric Structures

Authors : Şirin Aktay

Pages : 261-271

Doi:10.47000/tjmcs.1337614

View : 34 | Download : 37

Publication Date : 2024-06-30

Article Type : Research Paper

Abstract :We study $\\mathcal{D}$-homothetic deformations of almost contact manifolds with B-metric. Some basic classes are known to be invariant under these deformations. We examine the invariance of remaining basic classes. Also we investigate $\\mathcal{D}$-homothetic deformations of normal and $K$-contact structures. We give examples of deformations of almost contact manifolds with B-metric structures in three dimensions.
Keywords : Almost contact structure, B metric, D homothetic deformation