| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4605850 | Differential Geometry and its Applications | 2015 | 10 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jonas Nordström,