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

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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