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Displaying 1461 – 1480 of 1746

The generalized de Rham-Hodge theory aspects of Delsarte-Darboux type transformations in multidimension

Anatoliy Samoilenko, Yarema Prykarpatsky, Anatoliy Prykarpatsky (2005)

Open Mathematics

The differential-geometric and topological structure of Delsarte transmutation operators and their associated Gelfand-Levitan-Marchenko type eqautions are studied along with classical Dirac type operator and its multidimensional affine extension, related with selfdual Yang-Mills eqautions. The construction of soliton-like solutions to the related set of nonlinear dynamical system is discussed.

The generalized Lichnerowicz formula and analysis of Dirac operators.

J. Tolksdorf, Ackermann, T. (1996)

Journal für die reine und angewandte Mathematik

The geodesic hypothesis and non-topological solitons on pseudo-riemannian manifolds

David M. A. Stuart (2004)

Annales scientifiques de l'École Normale Supérieure

The geometry and spectrum of the one holed torus.

P. Buser, K.-D. Semmler (1988)

Commentarii mathematici Helvetici

The geometry of Markov diffusion generators

Michel Ledoux (2000)

Annales de la Faculté des sciences de Toulouse : Mathématiques

The global Yang-Mills equations depending on an arbitrary metric

Bernard Gaveau, Jerzy Kalina, Julian Lawrynowicz, Leszek Wojtczak (1985)

Annales Polonici Mathematici

The globally homeomorphic solutions to Beltrami system in Cn.

Lixin Wang (1994)

Mathematische Zeitschrift

The heat equation and harmonic maps of complete manifolds.

Peter Li, Luen-fai Tam (1991)

Inventiones mathematicae

The heat equation in riemannian geometry

M. F. Atiyah (1973/1974)

Séminaire Bourbaki

The heat equation on manifolds as a gradient flow in the Wasserstein space

Matthias Erbar (2010)

Annales de l'I.H.P. Probabilités et statistiques

We study the gradient flow for the relative entropy functional on probability measures over a riemannian manifold. To this aim we present a notion of a riemannian structure on the Wasserstein space. If the Ricci curvature is bounded below we establish existence and contractivity of the gradient flow using a discrete approximation scheme. Furthermore we show that its trajectories coincide with solutions to the heat equation.

The Index of Manifolds with Toral Actions and Geometric Interpretations of the ... (..., (S1, Mn)) Invariant of Atiyah and Singer.

Frank Raymond, Katsuo Kawakubo (1971/1972)

Inventiones mathematicae

Currently displaying 1461 – 1480 of 1746

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Displaying 1461 – 1480 of 1746

The generalized de Rham-Hodge theory aspects of Delsarte-Darboux type transformations in multidimension

The generalized Lichnerowicz formula and analysis of Dirac operators.

The geodesic hypothesis and non-topological solitons on pseudo-riemannian manifolds

The geometry and spectrum of the one holed torus.

The geometry of Markov diffusion generators

The global Yang-Mills equations depending on an arbitrary metric

The globally homeomorphic solutions to Beltrami system in Cn.

The heat equation and harmonic maps of complete manifolds.

The heat equation in riemannian geometry

The heat equation on manifolds as a gradient flow in the Wasserstein space

The heat semigroup acting on tensors or differential forms with values in vector bundle

The Hijazi inequalities on complete Riemannian ${Spin}^{c}$ manifolds.

The Hodge laplacian on manifolds with boundary

The inaudible geometry of nilmanifolds.

The Index of Manifolds with Toral Actions and Geometric Interpretations of the ... (..., (S1, Mn)) Invariant of Atiyah and Singer.

The index of projective families of elliptic operators.

The index of signature operators on Lipschitz manifolds

The index of transversally elliptic complexes

The infinite Brownian loop on a symmetric space.

The Kashiwara cojugation and wave-front sets of regular holonomic distributions on a complex manifold.

Currently displaying 1461 – 1480 of 1746