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Manifolds with small Dirac eigenvalues are nilmanifolds

✍ Scribed by Bernd Ammann; Chad Sprouse


Publisher
Springer
Year
2006
Tongue
English
Weight
272 KB
Volume
31
Category
Article
ISSN
0232-704X

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📜 SIMILAR VOLUMES


A new method for eigenvalue estimates fo
✍ Margarita Kraus; Christiane Tretter 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 147 KB

We prove estimates for the first nonnegative eigenvalue of the Dirac operator on certain manifolds with SO(k + 1)-symmetry in terms of geometric properties of the manifold. For the proof we employ an abstract technique which is new in this context and may apply to other cases of manifolds as well.