Hermitian natural tensors.
Hermitian spin surfaces with small eigenvalues of the Dolbeault operator
We study the compact Hermitian spin surfaces with positive conformal scalar curvature on which the first eigenvalue of the Dolbeault operator of the spin structure is the smallest possible. We prove that such a surface is either a ruled surface or a Hopf surface. We give a complete classification of the ruled surfaces with this property. For the Hopf surfaces we obtain a partial classification and some examples
Hermitian surfaces of constant holomorphic sectional curvature.
Hermitian-Einstein Connections and Stable Vector Bundles Over Compact Complex Surfaces.
Heterogeneous Riemannian manifolds.
Hidden symmetries of integrable systems in Yang-Mills theory and Kähler geometry
Hidden symmetries of -theory and its dynamical realization.
Hierarchy of integrable geodesic flows.
A family of integrable geodesic flows is obtained. Any such a family corresponds to a pair of geodesically equivalent metrics.
Higher covariant derivatives.
Higher Equivariant Index Theorem for Homogeneous spaces.
Higher genus minimal surfaces by growing handles out of a catenoid.
Higher monogenicity and residue theorem for Rarita-Schwinger operator
Higher order absolute differentiation with respect to generalized connections
Higher order almost tangent geometry and non-autonomous Lagrangian dynamics
Higher order Cartan connections.
Higher order Cartan connections
A Cartan connection associated with a pair is defined in the usual manner except that only the injectivity of is required. For an -th order connection associated with a bundle morphism the concept of Cartan order is defined, which for , and coincides with the classical definition. Results are obtained concerning the Cartan order of -th order connections that are the product of first order (Cartan) connections.
Higher order Codazzi tensors on conformally flat spaces.
Higher order connections.
Higher order contact of real curves in a real hyperquadric
Higher order contact of real curves in a real hyperquadric. II
Let be an Hermitian quadratic form, of maximal rank and index , defined over a complex vector space . Consider the real hyperquadric defined in the complex projective space by Let be the subgroup of the special linear group which leaves invariant and the distribution defined by the Cauchy Riemann structure induced over . We study the real regular curves of constant type in , tangent to , finding a complete system of analytic invariants for two curves to be locally equivalent...