𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Fermat Principle on Lorentzian manifolds and applications

✍ Scribed by F. Antonacci; P. Piccione

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
298 KB
Volume
9
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

On a Class of Geodesically Connected Lor
On a Class of Geodesically Connected Lorentzian Manifolds
✍ Flavia Antonacci; Rosella Sampalmieri πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 345 KB

In this paper we study the geodesical connectedness of Lorentzian manifolds. We consider a connected manifold M=M 0 \_R, where M 0 is a complete Riemannian manifold endowed with a Lorentzian metric g of splitting type. We prove that, under suitable hypotheses on the coefficients of the metric g, M i

A strong maximum principle for weak solu
A strong maximum principle for weak solutions of quasi-linear elliptic equations with applications to Lorentzian and Riemannian geometry
✍ Lars Andersson; Gregory J. Galloway; Ralph Howard πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 508 KB

The strong maximum principle is proved to hold for weak (in the sense of support functions) sub-and supersolutions to a class of quasi-linear elliptic equations that includes the mean curvature equation for C 0 -space-like hypersurfaces in a Lorentzian manifold. As one application, a Lorentzian warp

Harnack inequalities on manifolds with b
Harnack inequalities on manifolds with boundary and applications
✍ Feng-Yu Wang πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 215 KB

On a large class of Riemannian manifolds with boundary, some dimension-free Harnack inequalities for the Neumann semigroup are proved to be equivalent to the convexity of the boundary and a curvature condition. In particular, for p t (x, y) the Neumann heat kernel w.r.t. a volume type measure ΞΌ and