Details
| Original language | English |
|---|---|
| Pages (from-to) | 647-660 |
| Number of pages | 14 |
| Journal | Journal of Mathematical Sciences (United States) |
| Volume | 248 |
| Issue number | 5 |
| Early online date | 27 Jun 2020 |
| Publication status | Published - Aug 2020 |
Abstract
Given a pair (M,X), where X is a smooth submanifold in a closed smooth manifold M, we study the operation that takes each operator D on the ambient manifold to a certain operator on the submanifold. The latter operator is called the trace of D. More precisely, we study traces of operators associated with actions of compact Lie groups on M. We show that traces of such operators are localized at special submanifolds in X and study the structure of the traces on these submanifolds.
ASJC Scopus subject areas
- Mathematics(all)
- Statistics and Probability
- Mathematics(all)
- General Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Journal of Mathematical Sciences (United States), Vol. 248, No. 5, 08.2020, p. 647-660.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On Traces of Operators Associated with Actions of Compact Lie Groups
AU - Savin, A. Yu
AU - Sternin, B. Yu
PY - 2020/8
Y1 - 2020/8
N2 - Given a pair (M,X), where X is a smooth submanifold in a closed smooth manifold M, we study the operation that takes each operator D on the ambient manifold to a certain operator on the submanifold. The latter operator is called the trace of D. More precisely, we study traces of operators associated with actions of compact Lie groups on M. We show that traces of such operators are localized at special submanifolds in X and study the structure of the traces on these submanifolds.
AB - Given a pair (M,X), where X is a smooth submanifold in a closed smooth manifold M, we study the operation that takes each operator D on the ambient manifold to a certain operator on the submanifold. The latter operator is called the trace of D. More precisely, we study traces of operators associated with actions of compact Lie groups on M. We show that traces of such operators are localized at special submanifolds in X and study the structure of the traces on these submanifolds.
UR - http://www.scopus.com/inward/record.url?scp=85087367513&partnerID=8YFLogxK
U2 - 10.1007/s10958-020-04902-1
DO - 10.1007/s10958-020-04902-1
M3 - Article
AN - SCOPUS:85087367513
VL - 248
SP - 647
EP - 660
JO - Journal of Mathematical Sciences (United States)
JF - Journal of Mathematical Sciences (United States)
SN - 1072-3374
IS - 5
ER -