Hausdorff measures in Minkowskian geometry
H-conformal anti-invariant submersions from almost quaternionic Hermitian manifolds
We introduce the notions of h-conformal anti-invariant submersions and h-conformal Lagrangian submersions from almost quaternionic Hermitian manifolds onto Riemannian manifolds as a generalization of Riemannian submersions, horizontally conformal submersions, anti-invariant submersions, h-anti-invariant submersions, h-Lagrangian submersion, conformal anti-invariant submersions. We investigate their properties: the integrability of distributions, the geometry of foliations, the conditions for such...
Heat content asymptotics for operators to Laplace type with Neumann boundary conditions.
Heat flow of p-harmonic maps with values into spheres.
Heat flows for extremal Kähler metrics
Let be a closed polarized complex manifold of Kähler type. Let be the maximal compact subgroup of the automorphism group of . On the space of Kähler metrics that are invariant under and represent the cohomology class , we define a flow equation whose critical points are the extremal metrics,i.e.those that minimize the square of the -norm of the scalar curvature. We prove that the dynamical system in this space of metrics defined by the said flow does not have periodic orbits, and that its...
Heat kernel estimates and lower bound of eigenvalues.
Helical Immersions Into a Unit Sphere.
Hermitian curvature flow
We define a functional for Hermitian metrics using the curvature of the Chern connection. The Euler–Lagrange equation for this functional is an elliptic equation for Hermitian metrics. Solutions to this equation are related to Kähler–Einstein metrics, and are automatically Kähler–Einstein under certain conditions. Given this, a natural parabolic flow equation arises. We prove short time existence and regularity results for this flow, as well as stability for the flow near Kähler–Einstein metrics...
Hermitian harmonic maps.
Hermitian Manifolds of Pointwise Constant Antiholomorphic Sectional Curvatures
2000 Mathematics Subject Classification: Primary 53B35, Secondary 53C50.In dimension greater than four, we prove that if a Hermitian non-Kaehler manifold is of pointwise constant antiholomorphic sectional curvatures, then it is of constant sectional curvatures.
Hermitian Metrics of Negative Holomorphic Sectional Curvature on Some Hyperbolic Manifolds.
Hermitian metrics of semi-negative curvature on quotients of bounded symmetric domains.
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
Higher covariant derivatives.
Higher Equivariant Index Theorem for Homogeneous spaces.