Concept

Curvature of Riemannian manifolds

Publications associées (167)

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Large-eddy simulation of a curved open-channel flow over topography

Koen Blanckaert

Large-eddy simulation LES is performed of a curved open-channel flow over topography based on the laboratory experiment by Blanckaert _“Topographic steering, flow circulation, velocity redistribution and bed topography in sharp meander bends,” Water Reso ...

American Institute of Physics2010

Scale Invariant Features and Polar Descriptors in Omnidirectional Imaging

Pascal Frossard, Zafer Arican

We propose a method to compute scale invariant features in omnidirectional images. We present a formulation based on Riemannian geometry for the definition of differential operators on non-Euclidian manifolds that describe the mirror and lens structure in ...

2010

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

Marc Troyanov

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

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

Stephen Ducret

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 ...

EPFL2009

Quasi-static cyclic tests and plastic hinge analysis of RC structural walls

Katrin Beyer, Alessandro Dazio

This paper presents the results of quasi-static cyclic tests on six reinforced concrete (RC) walls performed at the ETH Zurich. These large-scale tests investigate the effect of different vertical reinforcement contents and different reinforcement ductilit ...

Elsevier2009

Fabrication and Characterization of 1-D diffusing elements

Hans Peter Herzig, Roland Andreas Bitterli, Toralf Scharf, Myun Sik Kim

Certain high power laser applications require thin homogeneous laser lines. In this paper we describe the concept, fabrication and characterization of a 1-D diffuser that generates such a line. The device is based on an array of concave cylinder lenses wit ...

2009

A robust method for measurement of fluctuation parallel wavenumber in laboratory plasmas

Ambrogio Fasoli, Mario Ludovico Podesta, Francesca Maria Poli

Measuring the parallel wavenumber is fundamental for the experimental characterization of electrostatic instabilities. It becomes particularly important in toroidal geometry, where spatial inhomogeneities and curvature can excite both drift instabilities, ...

American Institute of Physics2009

Product groups acting on manifolds

Nicolas Monod

We analyse volume-preserving actions of product groups on Riemannian manifolds. Under a natural spectral irreducibility assumption, we prove the following dichotomy: Either the action is measurably isometric, in which case there are at most two factors; or ...

2009

Generalization Of Hasimoto'S Transformation

In this paper, we generalize the famous Hasimoto's transformation by showing that the dynamics of a closed unidimensional vortex filament embedded in a three-dimensional manifold M of constant curvature, gives rise under Hasimoto's transformation to the no ...

World Scientific Publishing2009

Beltrami-Flow to Generate a Scale-Space of Cortical Feature Maps on the Sphere.

Jean-Philippe Thiran, Dominique Zosso

In this paper we define a scale-space for cortical mean curvature maps on the sphere, that offers a hierarchical representation of the cortical structures, useful in multi-scale algorithms. A spherical feature map is obtained through inflation of the corti ...

2009