Rigidity of gradient Ricci solitons

Autores: Peter Petersen, William Wylie
Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 241, Nº 2, 2009, págs. 329-345
Idioma: inglés
DOI: 10.2140/pjm.2009.241.329
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Resumen
- We define a gradient Ricci soliton to be rigid if it is a flat bundle N ×GRk 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.