تقرير
Variations of Weyl's tube formula
| العنوان: | Variations of Weyl's tube formula |
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| المؤلفون: | Burtscher, Annegret, Heckman, Gert |
| المصدر: | The Journal of Geometric Analysis, Volume 31 (2021), Issue 12, 11952-11970 |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, 53A07, 53A55, 20G05 |
| الوصف: | In 1939 Weyl showed that the volume of spherical tubes around compact submanifolds M of Euclidean space depends solely on the induced Riemannian metric on M. Can this intrinsic nature of the tube volume be preserved for tubes with more general cross sections D than the round ball? Under sufficiently strong symmetry conditions on D the answer turns out to be yes. Comment: Added reference and Section 8 |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/s12220-021-00707-z |
| URL الوصول: | http://arxiv.org/abs/2102.04305 |
| رقم الأكسشن: | edsarx.2102.04305 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/s12220-021-00707-z |
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