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Annals of Global Analysis and Geometry

, Volume 48, Issue 4, pp 295–303 | Cite as

Regularization via Cheeger deformations

  • Catherine Searle
  • Pedro SolórzanoEmail author
  • Frederick Wilhelm
Article

Abstract

We show that Cheeger deformations regularize G-invariant metrics in a very strong sense.

Keywords

Cheeger deformation Riemannian submersion Normal homogenous Totally geodesic fibers 

Mathematics Subject Classification

53C20 

Notes

Acknowledgments

We are grateful to Peter Petersen, Wilderich Tuschmann, and Burkhard Wilking for stimulating conversations on this topic.

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Copyright information

© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  1. 1.Mathematics, Statistics, and Physics DepartmentWichita State UniversityWichitaUSA
  2. 2.Departamento de MatemáticaUniversidade Federal de Santa CatarinaFlorianópolisBrasil
  3. 3.Department of MathematicsUniversity of CaliforniaRiversideUSA

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