Curvature conditions for complex-valued harmonic morphisms
Författare
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.
We also give a necessary curvature condition for the existence of complex-valued harmonic morphisms with totally geodesic fibers on Einstein manifolds.
Avdelning/ar
- Matematik (naturvetenskapliga fakulteten)
- Differential Geometry
Publiceringsår
2015
Språk
Engelska
Sidor
44-53
Publikation/Tidskrift/Serie
Differential Geometry and its Applications
Volym
42
Dokumenttyp
Artikel i tidskrift
Förlag
North-Holland
Ämne
- Geometry
Nyckelord
- Harmonic morphism
- Totally geodesic
- Holomorphic
Status
Published
Forskningsgrupp
- Differential Geometry
ISBN/ISSN/Övrigt
- ISSN: 1872-6984