On the Existence of η-Einstein Contact Metric Structures

Aïssa Wade, Ameth Ndiaye, Abdoul Salam Diallo

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

The goal of this paper is two-fold: firstly, we give a necessary and sufficient condition for the existence of a transverse Einstein metric on a given co-oriented contact manifold (M,η). Secondly, we apply this result to obtain important consequences. In particular, we give another proof of a theorem by Boyer and Galicki (Sasakian Geometry. Oxford Mathematical Monographs. Oxford University Press, Oxford (2008). xii+613pp.) on solutions to Goldberg’s conjecture for η-Einstein K-contact manifolds. An example illustrating our construction result is provided.

Original languageEnglish (US)
Title of host publicationTrends in Mathematics
PublisherSpringer Science and Business Media Deutschland GmbH
Pages267-283
Number of pages17
DOIs
StatePublished - 2024

Publication series

NameTrends in Mathematics
VolumePart F2889
ISSN (Print)2297-0215
ISSN (Electronic)2297-024X

All Science Journal Classification (ASJC) codes

  • General Mathematics

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