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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
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...
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 ...
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...
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 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...

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