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We give an e
ient simpli
ial formula for the volume and ChernSimons invariant of a boundary-paraboli
PSL(2,C)representation of a tame
3manifold
Inegalite de Sobolev et volume asymptotique
Sobolev inequality volume growth locally conformally flat
2011/9/23
Abstract: A result of M. Ledoux is that a complete Riemannian manifold with non negative Ricci curvature satisfying the Euclidean Sobolev inequality is the Euclidean space. We present a shortcut of th...
A note on the volume flux of smooth and continuous strictly contact isotopies
Flux homomorphism strictly contact isotopy regular contact form topological or continuous Hamiltonian
2011/9/20
Abstract: This note on the flux homomorphism for strictly contact isotopies complements the recent paper [MS11a] by P. Spaeth and the author. We determine the volume flux restricted to symplectic and ...
Bounds on volume growth of geodesic balls under Ricci flow
geodesic balls under Ricci flow Differential Geometry Analysis of PDEs
2011/9/16
Abstract: We prove a so called $\kappa$ non-inflating property for Ricci flow, which provides an upper bound for volume ratio of geodesic balls over Euclidean ones, under an upper bound for scalar cur...
$P_1$-nonconforming Quadrilateral Finite Volume Element Method and Its Cascadic Multigrid Algorithm
2007/12/12
In this paper, we discuss the finite volume element
method of $P_1$-nonconforming quadrilateral element for elliptic
problems and obtain optimal error estimates for general
quadrilateral partition....
Volume-preserving Fields and Reeb Fields on
Volume-preserving fields Contact Contact forms Reeb-like fields Volume-preserving sphere Poisson matrices
2007/12/11
Volume-preserving field} $X$ on a 3-manifold is the one that satisfies $L_X\Omega\equiv 0$ for some volume $\Omega$. The Reeb vector field of a contact form is of volume-preserving, but not conversely...