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On the Volume of Nodal Sets for Eigenfunctions of the Laplacian on the Torus

✍ Scribed by Zeév Rudnick; Igor Wigman


Publisher
Springer
Year
2008
Tongue
English
Weight
302 KB
Volume
9
Category
Article
ISSN
1424-0637

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Bounds for Eigenfunctions of the Laplaci
✍ Harold Donnelly 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 188 KB

Suppose that f is an eigenfunction of -D with eigenvalue l ] 0. It is proved that where n is the dimension of M and c 1 depends only upon a bound for the absolute value of the sectional curvature of M and a lower bound for the injectivity radius of M. It is then shown that if M admits an isometric