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Ricci Flow and the Determinant of the Laplacian on Non-Compact Surfaces

✍ Scribed by Albin, Pierre; Aldana, Clara L.; Rochon, Frédéric


Book ID
120022788
Publisher
Taylor and Francis Group
Year
2013
Tongue
English
Weight
434 KB
Volume
38
Category
Article
ISSN
0360-5302

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Lower bounds for the first eigenvalue of
✍ HuiChun Zhang 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 203 KB

We give some lower bounds for the first eigenvalue of the p-Laplace operator on compact Riemannian manifolds with positive (or non-negative) Ricci curvature in terms of diameter of the manifolds. For compact manifolds with boundary, we consider the Dirichlet eigenvalue with some proper geometric hyp