Einstein gravity, Lagrange-Finsler geometry, and nonsymmetric metrics.
Einstein Metrics and Complex Structures.
Einstein Spaces Isometrically Diffeomorphic to a Sphere.
Einstein-Riemann gravity on deformed spaces.
Ekeland's principle for vector-valued maps based on the characterization of uniform spaces via families of generalized quasi-metrics.
Elementary construction of perverse sheaves.
Elementary theory of differential invariants
Elliptic boundary problems on spaces with conic points
Elliptic cohomologies: an introductory survey.
Let α and β be any angles then the known formula sin (α+β) = sinα cosβ + cosα sinβ becomes under the substitution x = sinα, y = sinβ, sin (α + β) = x √(1 - y2) + y √(1 - x2) =: F(x,y). This addition formula is an example of "Formal group law", which show up in many contexts in Modern Mathematics.In algebraic topology suitable cohomology theories induce a Formal group Law, the elliptic cohomologies are the ones who realize the Euler addition formula (1778): F(x,y) =: (x √R(y) + y √R(x)/1 - εx2y2)....
Elliptic complexes in the calculus of variations [Book]
Elliptic differential operators on noncompact manifolds
Elliptic diffusions on infinite products.
Elliptic genera and the moonshine module.
Elliptic genera, modular forms over KO*, and the Brown-Kervaire invariant.
Elliptic K3 surfaces as dynamical models and their Hamiltonian monodromy
This note deals with Lagrangian fibrations of elliptic K3 surfaces and the associated Hamiltonian monodromy. The fibration is constructed through the Weierstraß normal form of elliptic surfaces. There is given an example of K3 dynamical models with the identity monodromy matrix around 12 elementary singular loci.
Elliptic operators and covers of Riemannian manifolds.
Elliptic operators and higher signatures
Building on the theory of elliptic operators, we give a unified treatment of the following topics: - the problem of homotopy invariance of Novikov’s higher signatures on closed manifolds, - the problem of cut-and-paste invariance of Novikov’s higher signatures on closed manifolds, - the problem of defining higher signatures on manifolds with boundary and proving their homotopy invariance.
Elliptic problems with integral diffusion
In this paper, we review several recent results dealing with elliptic equations with non local diffusion. More precisely, we investigate several problems involving the fractional laplacian. Finally, we present a conformally covariant operator and the associated singular and regular Yamabe problem.
Elliptic resonance problems with unequal limits at infinity.
Elliptic Systems of Pseudodifferential Equations in the Refined Scale on a Closed Manifold
We study a system of pseudodifferential equations which is elliptic in the Petrovskii sense on a closed smooth manifold. We prove that the operator generated by the system is a Fredholm operator in a refined two-sided scale of Hilbert function spaces. Elements of this scale are special isotropic spaces of Hörmander-Volevich-Paneah.