Complete Riemannian manifolds admitting a pair of Einstein-Weyl structures

Title:

Complete Riemannian manifolds admitting a pair of Einstein-Weyl structures

Creator:

Ghosh, Amalendu

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:71605ff8-693b-49e9-a68c-2a9e84279a5a
uuid:71605ff8-693b-49e9-a68c-2a9e84279a5a
doi:10.21136/MB.2016.0072-14

Subject:

Weyl manifold, Einstein-Weyl structure, and infinitesimal harmonic transformation

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We prove that a connected Riemannian manifold admitting a pair of nontrivial Einstein-Weyl structures (g, ±ω) with constant scalar curvature is either Einstein, or the dual field of ω is Killing. Next, let (Mn , g) be a complete and connected Riemannian manifold of dimension at least 3 admitting a pair of Einstein-Weyl structures (g,±ω). Then the Einstein-Weyl vector field E (dual to the 1-form ω) generates an infinitesimal harmonic transformation if and only if E is Killing.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

315-325

Source:

Mathematica bohemica | 2016 Volume:141 | Number:3

Harvested from:

CDK

Metadata only:

false