Elliptic G-Operators on Manifolds with Isolated Singularities
- Authors: Savin A.Y.1, Sternin B.Y.1
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Affiliations:
- Peoples’ Friendship University of Russia
- Issue: Vol 59, No (2016)
- Pages: 173-191
- Section: Articles
- URL: https://journals.rcsi.science/2413-3639/article/view/347282
- ID: 347282
Cite item
Abstract
We study elliptic operators on manifolds with singularities such that a discrete group G acts on the manifold. Following the standard elliptic theory approach, we de ne the Fredholm property of an operator by its principal symbol. For this problem, we prove that the symbol is a pair consisting of the symbol on the principal stratum (the inner symbol) and the symbol at the conical point (the conormal symbol). We establish the Fredholm property of elliptic elements.
About the authors
A. Yu. Savin
Peoples’ Friendship University of Russia
Email: antonsavin@mail.ru
Moscow, Russia
B. Yu. Sternin
Peoples’ Friendship University of Russia
Email: sternin@mail.ru
Moscow, Russia
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