Curvature estimates and compactness theorems in 3-manifolds for surfaces that are stationary for parametric elliptic functionals.
Curvature Estimates for Immersions of Minimal Surface Type via Uniformization and Theorems of Bernstein Type.
Curvature estimates for minimal hypersurfaces in singular spaces.
Curvature estimates for minimal surfaces in -manifolds
Curvature flows on surfaces
Prompted by recent work of Xiuxiong Chen, a unified approach to the Hamilton-Ricci and Calabi flows on a closed, compact surface is presented, recovering global existence and exponentially fast asymptotic convergence from concentration-compactness results for conformal metrics.
Curvature free volume estimates.
Curvature functionals for curves in the equi-affine plane
After having given the general variational formula for the functionals indicated in the title, the critical points of the integral of the equi-affine curvature under area constraint and the critical points of the full-affine arc-length are studied in greater detail. Notice. An extended version of this article is available on arXiv:0912.4075.
Curvature homogeneity of affine connections on two-dimensional manifolds
Curvature homogeneity of (torsion-free) affine connections on manifolds is an adaptation of a concept introduced by I. M. Singer. We analyze completely the relationship between curvature homogeneity of higher order and local homogeneity on two-dimensional manifolds.
Curvature homogeneous riemannian manifolds
Curvature homogeneous spaces whose curvature tensors have large symmetries
We study curvature homogeneous spaces or locally homogeneous spaces whose curvature tensors are invariant by the action of “large" Lie subalgebras of . In this paper we deal with the cases of
Curvature identifies on Hermite manifolds
Curvature Increasing Metric Variations.
Curvature of a semi-direct extension of a Heisenberg type nilpotent group
Curvature of hyperkähler quotients
We prove estimates for the sectional curvature of hyperkähler quotients and give applications to moduli spaces of solutions to Nahm’s equations and Hitchin’s equations.
Curvature of lift spaces
Curvature of the Induced Riemannian Metric on the Tangent Bundle of a Riemannian Manifold.
Curvature on algebraic plane curves. I
Curvature on holomorphic plane curves. II
Curvature on reductive homogeneous spaces.
Curvature operators: pinching estimates and geometric examples