Some harmonic problems on the tangent bundle with a Berger-type deformed Sasaki metric

zbMath1513.53121arXiv2005.11083MaRDI QIDQ6341220

Aydin Gezer, Murat Altunbas, Ramazan Simsek

Publication date: 22 May 2020

Abstract: Let $(M_{2k},varphi ,g)$ be an almost anti-paraHermitian manifold and $(TM,g_{BS})$ be its tangent bundle with a Berger type deformed Sasaki metric $g_{BS}$. In this paper, we deal with the harmonicity of the canonical projection $pi :TM ightarrow M$ and a vector field $xi $ which is considered as a map $xi :M ightarrow TM$.

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

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