The concept of invariant geometry of second order.
The cone over the Clifford torus in R4 ist ...-minimizing.
The conformal change of the metric of an almost Hermitian manifold applied to the antiholomorphic curvature tensor
By using the technique of decomposition of a Hermitian vector space under the action of a unitary group, Ganchev [2] obtained a tensor which he named the Weyl component of the antiholomorphic curvature tensor. We show that the same tensor can be obtained by direct application of the conformal change of the metric to the antiholomorphic curvature tensor. Also, we find some other conformally curvature tensors and examine some relations between them.
The conjugacy problem for relatively hyperbolic groups.
The construction of concomitants from an almost complex structure [Book]
The Construction of Negatively Ricci Curved Manifolds.
The Convergence of Zeta Functions for Certain Geodesic Flow Depends on Their Pressure.
The convex and concave decomposition of manifolds with real projective structures
The convex floating body.
The CR Yamabe conjecture the case
Let be a compact CR manifold of dimension with a contact form , and its associated CR conformal laplacien. The CR Yamabe conjecture states that there is a contact form on conformal to which has a constant Webster curvature. This problem is equivalent to the existence of a function such that , on . D. Jerison and J. M. Lee solved the CR Yamabe problem in the case where and is not locally CR equivalent to the sphere of . In a join work with R. Yacoub, the CR Yamabe problem...
The Critical Points Theory for the Closed Geodesics Problem.
The cubic representation of a submanifold.
The CUDA implementation of the method of lines for the curvature dependent flows
We study the use of a GPU for the numerical approximation of the curvature dependent flows of graphs - the mean-curvature flow and the Willmore flow. Both problems are often applied in image processing where fast solvers are required. We approximate these problems using the complementary finite volume method combined with the method of lines. We obtain a system of ordinary differential equations which we solve by the Runge-Kutta-Merson solver. It is a robust solver with an automatic choice of the...
The Curvature of SU(5)/(SP(2)XS1).
The curvature theory of generalized connection in .
The curvatures of certain surfaces of translation
The Cut Locus of Noncompact Finitely Connected Surfaces Without Conjugate Points
The cyclic homology of
The Darboux System and Embedding Problems in Three-Dimensional Riemannian Spaces.
The decomposition of global conformal invariants: some technical proofs. I.