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Maps into manifolds

  • Herbert Koch
  • Daniel Tataru
  • Monica Vişan
Chapter
Part of the Oberwolfach Seminars book series (OWS, volume 45)

Abstract

Instead of working with real or complex-valued functions, our main objects of study here are evolutions whose state space, in the simplest setting, consists of maps from the Euclidean space \(\mathbb{R}^n\) into a Riemannian manifold (M,g). More generally, one can consider maps whose domains are also Riemannian manifolds.

Keywords

Riemannian Manifold Vector Bundle Fundamental Form Hyperbolic Space Homotopy Class 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Basel 2014

Authors and Affiliations

  • Herbert Koch
    • 1
  • Daniel Tataru
    • 2
  • Monica Vişan
    • 3
  1. 1.Institute of MathematicsUniversity of BonnBonnGermany
  2. 2.Department of MathematicsUniversity of CaliforniaBerkeleyUSA
  3. 3.Department of MathematicsUniversity of CaliforniaLos AngelesUSA

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