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Curvature conditions for complex-valued harmonic morphisms

På svenska

Author

  • Jonas Nordström

Summary, in English

We study the curvature of manifolds which admit a complex-valued submersive harmonic morphism with either, totally geodesic fibers or that is holomorphic with respect to a complex structure which is compatible with the second fundamental form.



We also give a necessary curvature condition for the existence of complex-valued harmonic morphisms with totally geodesic fibers on Einstein manifolds.

Department/s

Publishing year

2015

Language

English

Pages

44-53

Publication/Series

Differential Geometry and its Applications

Volume

42

Document type

Journal article

Publisher

North-Holland

Topic

  • Geometry

Keywords

  • Harmonic morphism
  • Totally geodesic
  • Holomorphic

Status

Published

Research group

  • Differential Geometry

ISBN/ISSN/Other

  • ISSN: 1872-6984