The Hijazi inequality on manifolds with boundary
β Scribed by Simon Raulot
- Book ID
- 108137724
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 259 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0393-0440
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π SIMILAR VOLUMES
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
In this paper, we establish some sharp Sobolev trace inequalities on n-dimensional, compact Riemannian manifolds with smooth boundaries. More specifically, let We establish for any Riemannian manifold with a smooth boundary, denoted as (M, g), that there exists some constant A = A(M, g) > 0, ( βM |