Publications related to A Short Proof of the Holder-Poincare Duality for Lp-Cohomology

Geodesic Active Fields - A Geometric Framework for Image Registration

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In this paper we present a novel framework called geodesic active fields for general image registration on Riemannian manifolds. In image registration, one looks for the underlying deformation field that best maps one image onto another. This is a classic ...

2010

Lq,p-cohomology of Riemannian manifolds and simplicial complexes of bounded geometry

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The Lq,p-cohomology of a Riemannian manifold (M, g) is defined to be the quotient of closed Lp-forms, modulo the exact forms which are derivatives of Lq-forms, where the measure considered comes from the Riemannian structure. The Lq,p-cohomology of a simpl ...

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The subject of this thesis lies in the intersection of differential geometry and functional analysis, a domain usually called global analysis. A central object in this work is the group Ds(M) of all orientation preserving diffeomorphisms of a compact manif ...

EPFL2009

Distortion of Mappings and $L_{q,p}$-Cohomology

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We study some relation between some geometrically defined classes of diffeomorphisms between manifolds and the

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We consider the L_{q,p}-cohomology of a complete simply connected Riemannian manifold (M,g) with pinched negative curvature. The connection between the L_{q,p}-cohomology of (M,g) and Sobolev inequalities for differential forms on (M,g) was established by ...

Springer2009

Finsler Conformal Lichnerowicz-Obata conjecture

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We prove the Finsler analog of the conformal Lichnerowicz-Obata conjecture showing that a complete and essential conformal vector field on a non-Riemannian Finsler manifold is a homothetic vector field of a Minkowski metric. ...

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EPFL2007

Sobolev inequalities for differential forms and $L_{q,p}$-cohomology

Marc Troyanov

We study the relation between Sobolev inequalities for differential forms on a Riemannian manifold

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2006

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Optimal control of geodesics in Riemannian manifolds

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Summary: We present a method based on an optimal control technique for numerical computations of geodesic paths between two fixed points of a Riemannian manifold under the assumption of existence. In this method, the control variable is the tangent vector ...

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A Short Proof of the Holder-Poincare Duality for Lp-Cohomology

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Geodesic Active Fields - A Geometric Framework for Image Registration

Lq,p-cohomology of Riemannian manifolds and simplicial complexes of bounded geometry

Infinite dimensional geodesic flows and the universal Teichmüller space

Distortion of Mappings and $L_{q,p}$-Cohomology

$L_{q,p}$-cohomology of Riemannian Manifolds with Negative Curvature

Finsler Conformal Lichnerowicz-Obata conjecture

Optimal control of geodesics in Riemannian manifolds

Sobolev inequalities for differential forms and $L_{q,p}$-cohomology

Laplacian Operator, Diffusion Flow and Active Contour on non-Euclidean Images

Optimal control of geodesics in Riemannian manifolds

Optimal control of geodesics in Riemannian manifolds

Sobolev inequalities for differential forms and $L_{q,p}$-cohomology

Geodesic Active Fields - A Geometric Framework for Image Registration

Distortion of Mappings and $L_{q,p}$-Cohomology

Laplacian Operator, Diffusion Flow and Active Contour on non-Euclidean Images

Infinite dimensional geodesic flows and the universal Teichmüller space

$L_{q,p}$-cohomology of Riemannian Manifolds with Negative Curvature

Finsler Conformal Lichnerowicz-Obata conjecture

Optimal control of geodesics in Riemannian manifolds

Lq,p-cohomology of Riemannian manifolds and simplicial complexes of bounded geometry