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Mathematische Annalen

, Volume 373, Issue 1–2, pp 155–163 | Cite as

Conformal deformations of CAT(0) spaces

  • Alexander LytchakEmail author
  • Stephan Stadler
Article
  • 41 Downloads

Abstract

We show that the class of CAT(0) spaces is closed under suitable conformal changes. In particular, any CAT(0) space admits a large variety of non-trivial deformations.

Mathematics Subject Classification

53C20 53C23 58E20 

Notes

Acknowledgements

The authors are grateful to Stefan Wenger for very helpful comments. Both authors were partially supported by DFG grant SPP 2026.

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Mathematisches InstitutUniversität KölnKölnGermany
  2. 2.Mathematisches Institut der Universität MünchenMünchenGermany

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