Indefinite Kähler Manifolds.
Instrinsic Connections for Levi Metrics.
Invariant connections and invariant holomorphic bundles on homogeneous manifolds
Let X be a differentiable manifold endowed with a transitive action α: A×X→X of a Lie group A. Let K be a Lie group. Under suitable technical assumptions, we give explicit classification theorems, in terms of explicit finite dimensional quotients, of three classes of objects: equivalence classes of α-invariant K-connections on X α-invariant gauge classes of K-connections on X, andα-invariant isomorphism classes of pairs (Q,P) consisting of a holomorphic Kℂ-bundle Q → X and a K-reduction P of Q (when...
Invariant operators on real and complex manifolds.
Isotropic Immersions of Complex Space Forms into Real Space Forms and Mean Curvatures
Using an inequality related to the mean curvature, we give a sufficient condition for an isotropic immersion of a complex space form into a real space form to be parallel.