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

Related publications (59)

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Scalar geometry and masses in Calabi-Yau string models

Claudio Scrucca, Daniel Farquet

We study the geometry of the scalar manifolds emerging in the no-scale sector of Kahler moduli and matter fields in generic Calabi-Yau string compactifications, and describe its implications on scalar masses. We consider both heterotic and orientifold mode ...

Springer2012

Concentration Compactness for critical wave maps

Joachim Krieger

Wave maps are the simplest wave equations taking their values in a Riemannian manifold (M,g). Their Lagrangian is the same as for the scalar equation, the only difference being that lengths are measured with respect to the metric g. By Noether's theorem, s ...

European Mathematical Society2012

Processes governing the flow redistribution in sharp river bends

Koen Blanckaert

Insight is provided in hydrodynamic processes governing the velocity redistribution in sharp river bends based on simulations of three recent experiments by means of Blanckaert and de Vriend's (2003, 2010) reduced-order nonlinear model without curvature re ...

2012

Application of Legendrian Foliations in Differential Flatness Problems

Philippe Müllhaupt, Basile Graf

Instances of control systems are presented for which dynamical feedback linearizability can be assessed from differential forms of highest relative degree after some “contact” transformation has been applied. This bypasses the need to find a polynomial dif ...

2012

Déformations conformes des variétés de Finsler-Ehresmann

Ratiba Djelid

An intrinsic approach to Finsler geometry is proposed. A concept of Finsler- Ehresmann manifold, denoted by (M,F,H), is introduced and a generalized Chern connection is built for this manifold. Conformal deformations on this manifold are considered. First, ...

EPFL2011

Local Sampling Analysis for Quadratic Embeddings of Riemannian Manifolds

Hemant Tyagi

In this work we do a theoretical analysis of the local sampling conditions for points lying on a quadratic embedding of a Riemannian manifold in a Euclidean space. The embedding is assumed to be quadratic at a reference point

P

. Our analysis is based on ...

2011

Capacities, Systoles and Jacobians of Riemann Surfaces

Björn Mützel

To any compact Riemann surface of genus g one may assign a principally polarized abelian variety (PPAV) of dimension g, the Jacobian of the Riemann surface. The Jacobian is a complex torus and we call a Gram matrix of the lattice of a Jacobian a period Gra ...

EPFL2011

Harmonic Active Contours for multichannel image segmentation

Jean-Philippe Thiran, Xavier Bresson, Dominique Zosso, Virginia Estellers Casas

We propose a segmentation method based on the geometric representation of images as surfaces embedded in a higher dimensional space, handling naturally multichannel images. The segmentation is based on an active contour embedded in the image manifold, alon ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2011

Curvature Analysis of Pattern Transformation Manifolds

Pascal Frossard, Elif Vural

Transformation manifolds are quite attractive for image analysis applications that require transformation invariance properties. The geometric structure of a transformation manifold has a profound influence on the design of processing algorithm, and the cu ...

2010

A Conformal de Rham Complex

Marc Troyanov

We introduce the notion of a conformal de Rham complex of a Riemannian manifold. This is a graded differential Banach algebra and it is invariant under quasiconformal maps, in particular the associated cohomology is a new quasiconformal invariant. ...

2010

Local Sampling Analysis for Quadratic Embeddings of Riemannian Manifolds

Hemant Tyagi

P

. Our analysis is based on ...

2011