Existence results for embedded minimal surfaces of controlled topological type, III
Existence results for the prescribed Scalar curvature on
This paper is devoted to the existence of conformal metrics on with prescribed scalar curvature. We extend well known existence criteria due to Bahri-Coron.
Exotic solutions of the conformal scalar curvature equation in Rn
Exotic structures on 4-manifolds detected by spectral invariants.
Expansion of embedded curves with tuning angle greater than - ... .
Explicit expression of Cartan’s connection for Levi-nondegenerate 3-manifolds in complex surfaces, and identification of the Heisenberg sphere
We study effectively the Cartan geometry of Levi-nondegenerate C 6-smooth hypersurfaces M 3 in ℂ2. Notably, we present the so-called curvature function of a related Tanaka-type normal connection explicitly in terms of a graphing function for M, which is the initial, single available datum. Vanishing of this curvature function then characterizes explicitly the local biholomorphic equivalence of such M 3 ⊂ ℂ2 to the Heisenberg sphere ℍ3, such M’s being necessarily real analytic.
Explicit solutions of on the Friedmann-Robertson-Walker space-times
Exponential coordinates and regularity of groupoid heat kernels
We prove that on an asymptotically Euclidean boundary groupoid, the heat kernel of the Laplacian is a smooth groupoid pseudo-differential operator.
Exponential law in the jet bundle, symmetries of differential equations and Cartan's moving frame. (Loi exponentielle dans le fibré des jets, symétries des équations différentielles et repère mobile de Cartan.)
Exponential mapping for Lie groupoids
Exponential mapping for Lie groupoids. Applications
Extended Bloch group and the Cheeger-Chern-Simons class.
Extended moduli spaces of flat connections on Riemann surfaces.
Extendibility, monodromy, and local triviality for topological groupoids.
Extending algebraic actions.
There is a well-known procedure -induction- for extending an action of a subgroup H of a Lie group G on a topological space X to an action of G on an associated space. Induction can also extend a smooth action of a subgroup H of a Lie group G on a manifold M to a smooth action of G on an associated manifold. In this paper elementary methods are used to show that induction also works in the category of (nonsingular) real algebraic varieties and regular or entire maps if G is a compact abelian Lie...
Extending holomorphic maps from compact sets in infinite dimensions
Extension of Bochner-Lichnérowicz formula on spheres
Extension of CR functions to «wedge type» domains
Let be a complex manifold, a generic submanifold of , the real underlying manifold to . Let be an open subset of with analytic, a complexification of . We first recall the notion of -tuboid of and of and then give a relation between; we then give the corresponding result in terms of microfunctions at the boundary. We relate the regularity at the boundary for to the extendability of functions on to -tuboids of . Next, if has complex dimension 2, we give results on extension...
Extension of cross-sections and a generalized de Rham theorem.
Extension of smooth functions in infinite dimensions II: manifolds
Let M be a separable Finsler manifold of infinite dimension. Then it is proved, amongst other results, that under suitable conditions of local extensibility the germ of a function, or of a section of a vector bundle, on the union of a closed submanifold and a closed locally compact set in M, extends to a function on the whole of M.