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19962022
most citedThe VOLNA code for the numerical modelling of tsunami waves: generation, propagation and inundation

107 citations

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11 papers · 1 filter

math.DG2022

Structures bihamiltoniennes partielles

Patrick Cabau, Fernand Pelletier

We introduce three notions of partial bihamiltonian structures (, et ) in the convenient setting defined by Frölicher, Kri…

math.DG2021

An integrability criterion for a projective limit of Banach distributions

Fernand Pelletier

We give an integrability criterion for a projective limit of Banach distributions on a Fréchet manifold which is a projective limit of Banach manifolds. This leads to a result of i…

math.DG2018★ 11 cited

Convenient Partial Poisson Manifolds

F. Pelletier, P. Cabau

We introduce the concept of partial Poisson structure on a manifold modelled on a convenient space. This is done by specifying a (weak) subbundle of a…

math.DG2015

On the stability of the Wulff shape

Julien Roth

Given a positive function F on S n satisfying an appropriate con-vexity assumption, we consider hypersurfaces for which a linear combination of some higher order anisotropic curvat…

math.DG2013★ 2 cited

The spinor representation formula in 3 and 4 dimensions

Pascal Romon, Julien Roth

In the literature, two approaches to the Weierstrass representation formula using spinors are known, one explicit, going back to Kusner & Schmitt, and generalized by Konopelchenko…

math.DG2013★ 1 cited

A canonical structure on the tangent bundle of a pseudo- or para-Kähler manifold

Henri Anciaux, Pascal Romon

It is a classical fact that the cotangent bundle $T^* \M$ of a differentiable manifold $\M$ enjoys a canonical symplectic form . If $(\M,\j,g,ω)$ is a pseudo-Kähler or para-Kä…

math.DG2011★ 28 cited

Almost Lie structures on an anchored Banach bundle

Patrick Cabau, Fernand Pelletier

Under appropriate assumptions, we generalize the concept of linear almost Poisson struc- tures, almost Lie algebroids, almost differentials in the framework of Banach anchored bund…

math.DG2011

Skew Killing spinors

Georges Habib, Julien Roth

In this paper, we study the existence of a skew Killing spinor (see the definition below) on 2 and 3-dimensional Riemannian spin manifolds. We establish the integrability condition…

math.DG2010★ 5 cited

Integrability of weak distributions on Banach manifolds

Fernand Pelletier

This paper concerns the problem of integrability of non closed distributions on Banach manifolds. We introduce the notion of weak distribution and we look for conditions under whic…

math.DG2007

A Remark on Almost Umbilical Hypersurfaces

Julien Roth

In this article, we prove new stability results for almost-Einstein hypersurfaces of the Euclidean space, based on previous eigenvalue pinching results. Then, we deduce some compar…

math.DG2007

Eigenvalue pinching and application to the stability and the almost umbilicity of hypersurfaces

Jean-Francois Grosjean, Julien Roth

In this paper we give pinching theorems for the first nonzero eigenvalue of the Laplacian on the compact hypersurfaces of ambient spaces with bounded sectional curvature. As applic…