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Petty's projection inequality and Santalo's affine isoperimetric inequality

✍ Scribed by Micheal Schmuckenschläger


Publisher
Springer
Year
1995
Tongue
English
Weight
494 KB
Volume
57
Category
Article
ISSN
0046-5755

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An Isoperimetric Inequality and the Firs
✍ José F Escobar 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 142 KB

Let (M n , g) be a compact Riemannian manifold with boundary. In this paper we give upper and lower estimates for the first nonzero Steklov eigenvalue where & 1 is a positive real number. The estimate from below is for a star-shaped domain on a manifold whose Ricci curvature is bounded from below.