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

Year 2024, Volume: 16 Issue: 1, 261 - 271, 30.06.2024

Şirin Aktay

https://doi.org/10.47000/tjmcs.1337614

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

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