Document Type

Article

Date

10-16-2007

Embargo Period

11-18-2011

Disciplines

Mathematics

Description/Abstract

We define a gradient Ricci soliton to be rigid if it is a flat bundle N*GammaRk where N is Einstein. It is known that not all gradient solitons are rigid. Here we offer several natural conditions on the curvature that characterize rigid gradient solitons. Other related results on rigidity of Ricci solitons are also explained in the last section.

Additional Information

This manuscript is from arXiv.org, for more information see http://arxiv.org/abs/0710.3174

Source

Harvested from arXiv.org

Creative Commons License


This work is licensed under a Creative Commons Attribution 3.0 License.

Included in

Mathematics Commons

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