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Showing 1 to 3 of 3 for “"Second Fundamental Form"”.
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On special Kähler metrics and hypersurfaces
… spaces. Particularly, we determine the second fundamental form of the sphere inthe Euclidean sense in Eguchi-Hanson spaces, motivated by constructing constant mean curvature hypersurfaces. We quantify how far these spheres are from being umbilic.
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Transversely Holomorphic Flows on 3-Manifolds and Geodesible Vector Fields
… flow on a 3-dimensional manifold. We compute the second fundamental form of the normal distribution and we draw some conclusions, one of which is a global obstruction to the existence of transversely holomorphic flows on 3-manifolds; then an explicit form of the first Chern class of the normal …
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On the existence of complex-valued harmonic morphisms
… 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.