Generalized Ricci solitons and Einstein metrics on weak K-contact manifolds

Generalized Ricci solitons and Einstein metrics on weak K-contact manifolds

We study so-called "weak" metric structures on a smooth manifold, which generalize the metric contact and $ K $-contact structures and allow a new look at the classical theory. We characterize weak $ K $-contact manifolds among all weak contact metric manifolds using the property well know...

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Bibliographic Details
Main Author: Vladimir Rovenski
Format: Article
Language:English
Published: AIMS Press 2023-05-01
Series:Communications in Analysis and Mechanics
Subjects:
weak $ k $-contact manifold
unit killing vector field
generalized ricci soliton
einstein metric
curvature
Online Access:https://www.aimspress.com/article/doi/10.3934/cam.2023010?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/cam.2023010?viewType=HTML

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