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Multiplicities of singularities of eigenfunctions for the Laplace—Beltrami operator

✍ Scribed by V. N. Karpushkin


Publisher
Springer US
Year
1995
Tongue
English
Weight
237 KB
Volume
29
Category
Article
ISSN
0016-2663

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Critical metrics of the eigenvalue gaps
✍ Songbo Hou 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 98 KB

## Abstract Let __M__ be a compact smooth manifold of dimension __n__ ⩾ 2. We investigate critical metrics of the Laplacian eigenvalue gaps considered as functionals on the space of Riemannian metrics or a conformal class of metrics on __M__. We give necessary and sufficient conditions for a metric