Expression de la distance d'une courbe à sa sphère osculatrice
Expression de comme quotient de deux déterminants
Extended Derdziński-Shen theorem for curvature tensors
We extend a remarkable theorem of Derdziński and Shen, on the restrictions imposed on the Riemann tensor by the existence of a nontrivial Codazzi tensor. We show that the Codazzi equation can be replaced by a more general algebraic condition. The resulting extension applies both to the Riemann tensor and to generalized curvature tensors.
Extended moduli spaces of flat connections on Riemann surfaces.
Extended rotation of the covariant vector density
Extending Calabi’s conjecture to complete noncompact Kähler manifolds which are asymptotically ,
Extending Minimal Varieties.
Extension de métriques riemanniennes et type de croissance
Let be a noncompact differentiable manifold and an open proper submanifold endowed with a complete Riemannian metric . We prove that can be extended all over to a complete Riemannian metric having the same growth-type as .
Extension des relations de Frenet aux courbes à points irréguliers
Extension of Holomorphic Maps into Hermitian Manifolds.
Extension of Local Loop Isomorphisms.
Extension phenomena for holomorphic geometric structures.
Extension Theorems for Reductive Group Actions on Compact Kaehler Manifolds.
Extensions of an inequality of Bonnesen to D-dimensional space and curvature conditions for convex bodies.
Extensions of symplectic groupoids and quantization.
Exterior differential systems, Lie algebra cohomology, and the rigidity of homogenous varieties
These are expository notes from the 2008 Srní Winter School. They have two purposes: (1) to give a quick introduction to exterior differential systems (EDS), which is a collection of techniques for determining local existence to systems of partial differential equations, and (2) to give an exposition of recent work (joint with C. Robles) on the study of the Fubini-Griffiths-Harris rigidity of rational homogeneous varieties, which also involves an advance in the EDS technology.
Exterior parallelism for polyhedra.
Extrait d'une Lettre adressée à M. Liouville.
Extremal domains for the first eigenvalue of the Laplace-Beltrami operator
We prove the existence of extremal domains with small prescribed volume for the first eigenvalue of Laplace-Beltrami operator in some Riemannian manifold. These domains are close to geodesic spheres of small radius centered at a nondegenerate critical point of the scalar curvature.
Extremal eigenvalue problems defined on conformal classes of compact Riemannian manifolds.