Boundary value problems for harmonic and minimal maps of surfaces into manifolds
Boundary value problems for the stationary Schrödinger equation on Riemannian 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....
Bounded Harmonic Functions and Positive Ricci Curvature.
Bounded Kähler class rigidity of actions on hermitian symmetric spaces
Bounds on the Dimension of L2-Holomorphic Sections of Vector Bundles over Complete Kähler Manifolds of Finite Volume.
Branch Points of Conformal Mappings of Surfaces.
Branched ...-structures on surfaces with prescribed real holonomy.
Branson's -curvature in Riemannian and spin geometry.
Brézis-Wainger inequality on Riemannian manifolds.
Brownian motion with respect to time-changing riemannian metrics, applications to Ricci flow
We generalize brownian motion on a riemannian manifold to the case of a family of metrics which depends on time. Such questions are natural for equations like the heat equation with respect to time dependent laplacians (inhomogeneous diffusions). In this paper we are in particular interested in the Ricci flow which provides an intrinsic family of time dependent metrics. We give a notion of parallel transport along this brownian motion, and establish a generalization of the Dohrn–Guerra or damped...
Bubbletons in 3-dimensional space forms.
Busemann Functions and Total Curvature.
B.Y. Chen inequalities for bi-slant submanifolds in generalized complex space forms.
B.-Y. Chen inequalities for semislant submanifolds in Sasakian space forms.
B.-Y. Chen's inequalities for submanifolds of Sasakian space forms
Recentemente, B.-Y. Chen ha introdotto una nuova serie di invarianti riemanniani per ogni varietà riemanniana. Ha anche ottenuto disuguaglianze strette per questi invarianti per sottovarietà di forme spaziali reali e complesse in funzione della loro curvatura media. Nel presente lavoro proviamo analoghe stime per gli invarianti per sottovarietà -totalmente reali e di contatto di una forma spaziale di Sasaki .
-гладкие изометрические погружения
-гладкие поверхности ограниченной внешней положительной кривизны
-algebras, positive scalar curvature, and the Novikov conjecture
-hypersurfaces of the six-dimensional sphere.