Unit tangent sphere bundles with constant scalar curvature

Title:

Unit tangent sphere bundles with constant scalar curvature

Creator:

Boeckx, Eric and Vanhecke, Lieven

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:45a97af0-034d-4a49-baa2-5f04cd1b83d7
uuid:45a97af0-034d-4a49-baa2-5f04cd1b83d7

Subject:

unit tangent sphere bundles, constant scalar curvature, and Einstein and Ricci-parallel metrics

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

As a first step in the search for curvature homogeneous unit tangent sphere bundles we derive necessary and sufficient conditions for a manifold to have a unit tangent sphere bundle with constant scalar curvature. We give complete classifications for low dimensions and for conformally flat manifolds. Further, we determine when the unit tangent sphere bundle is Einstein or Ricci-parallel.

Language:

English

Rights:

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

Coverage:

523-543

Source:

Czechoslovak Mathematical Journal | 2001 Volume:51 | Number:3

Harvested from:

CDK

Metadata only:

false