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On the first eigenvalue of the Witten–Laplacian and the diameter of compact shrinking solitons

✍ Scribed by Akito Futaki, Haizhong Li, Xiang-Dong Li


Book ID
120964743
Publisher
Springer
Year
2012
Tongue
English
Weight
154 KB
Volume
44
Category
Article
ISSN
0232-704X

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The first eigenvalue of the p-Laplacian
✍ Shigeo Kawai; Nobumitsu Nakauchi 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 135 KB

The ÿrst nonlinear eigenvalue of the p-Laplacian (p ¿ 2) is investigated for a compact manifold of nonnegative Ricci curvature with or without boundary. Lower bound estimates are given by the diameter or the inscribed radius. The key ingredients in proofs are the formula of Bochner-Weitz onbeck type