Bifurcation for Monge-Ampère Equations on Flat Tori.
Bornes universelles pour des invariants géométriques
Boundary value problems for harmonic and minimal maps of surfaces into manifolds
Boundary volume and length spectra of Riemannian manifolds: what the middle degree Hodge spectrum doesn't reveal
Let be a -dimensional compact Riemannian manifold. We show that the spectrum of the Hodge Laplacian acting on -forms does not determine whether the manifold has boundary, nor does it determine the lengths of the closed geodesics. Among the many examples are a projective space and a hemisphere that have the same Hodge spectrum on 1- forms, and hyperbolic surfaces, mutually isospectral on 1-forms, with different injectivity radii. The Hodge -spectrum also does not distinguish orbifolds from manifolds....
Branson's -curvature in Riemannian and spin geometry.
-algebras, positive scalar curvature, and the Novikov conjecture
Calcul du spectre de certaines nilvariétés compactes de dimension 3
Calibrated geometries in Grassmann manifolds.
Canonical forms for separability structures with less than five Killing tensors
Canonical metric on the domain of discontinuity of a kleinian group
Certain connections between time functions and compact spacelike submanifolds
Cheeger's finiteness theorem for diffeomorphism classes of Riemannian manifolds.
Cheeger's inequality with a boundary term.
Clodes Geodesics on Non-Compact Riemannian Manifolds.
Closed Geodesics on Complete Surfaces.
Closed geodesics on surfaces of genus 0
Cohomogeneity and positive curvature in low dimensions.
Collapse of warped submersions
We generalize the concept of warped manifold to Riemannian submersions π: M → B between two compact Riemannian manifolds and in the following way. If f: B → (0,∞) is a smooth function on B which is extended to a function f̂ = f ∘ π constant along the fibres of π then we define a new metric on M by , where and denote the bundles of horizontal and vertical vectors. The manifold obtained that way is called a warped submersion. The function f is called a warping function. We show a necessary...
Collapsing and soul theorem in three-dimension
Collapsing of Riemannian manifolds and eigenvalues of La-place operator.