Sentence examples for chavel from inspiring English sources

Cheeger [15], Chavel and Feldman [16] obtained upper bound for manifolds with non-negative Ricci curvature.

Chavel has conjectured that if x, y ϵ D ⊂ Ω then the following monotonicity result holds for all t: ηD x, y, t) ⩾ ηΩ x, y, t).

We cannot pursue here the history of all proofs and formulations of the isoperimetric inequality, but we refer the interested reader to the survey paper of Ossermann [104] and to the book of Chavel [37].

We consider the challenging problem of Chavel′s conjecture on the domain monotonicity of the fundamental solution of the Neumann problem.

We give a detailed analysis of the small time asymptotics of the Brownian paths reflected on the boundary of a polyhedron and we give a probabilistic proof of Chavel′s conjecture for small time t uniformly for all x and y in D when the closure of D is contained in D̃.