On the Spectrum of Riemannian Manifolds with Attached Thin Handles
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On the Spectrum of Riemannian Manifolds with Attached Thin Handles
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| Creator |
Khrabustovskyi, A.
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| Description |
The behavior as ε → 0 of the spectrum of the Laplace Beltrami operator Δε is studied on Rieinannian manifolds depending on a small parameter ε . They consist of a fixed compact manifold with attached handles whose radii tend to zero as ε → 0. We consider two cases: when the number of the handles is fixed and their lengthes are also fixed and when the number of the handles tend to infinity and their lengthes tend to zero as ε → 0 . For these cases we obtain the operators whose spectrum attracts the spectrum of Δε as ε → 0 .
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| Date |
2016-09-30T07:00:42Z
2016-09-30T07:00:42Z 2009 |
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| Type |
Article
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| Identifier |
On the Spectrum of Riemannian Manifolds with Attached Thin Handles / A. Khrabustovskyi // Журнал математической физики, анализа, геометрии. — 2009. — Т. 5, № 2. — С. 145-169. — Бібліогр.: 9 назв. — англ.
1812-9471 http://dspace.nbuv.gov.ua/handle/123456789/106538 |
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| Language |
en
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| Relation |
Журнал математической физики, анализа, геометрии
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| Publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
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