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arXiv · 2310.04000

Generalized Eta-Einstein and $(\kappa ,\mu )$-structures

Philippe Rukimbira
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Abstract

Generalized $(\kappa ,\mu )$ structures occur in dimension 3 only. In this dimension 3, only K-contact structures can occur as generalized Eta-Einstein. On closed manifolds, Eta-Einstein, K-contact structures which are not D-homothetic to Einstein structures are almost regular. We also construct examples of compact, generalized Jacobi $(\kappa ,\mu )$-structures.

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Philippe Rukimbira. 2023-10-06. Generalized Eta-Einstein and $(\kappa ,\mu )$-structures. https://arxiv.org/abs/2310.04000

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