Bibliographic Details
| Title: |
On the Index of Elliptic Operators on Manifolds with Cylindrical Ends. |
| Authors: |
Abbas, H. H.1 (AUTHOR) Abbas-Haydar@outlook.com, Zhuikov, K. N.1 (AUTHOR) zhuykovcon@gmail.com, Savin, A. Yu.1 (AUTHOR) a.yu.savin@gmail.com |
| Source: |
Computational Mathematics & Mathematical Physics. May2026, Vol. 66 Issue 5, p837-858. 22p. |
| Subjects: |
Elliptic operators, Manifolds (Mathematics), Index theory (Mathematics) |
| Abstract: |
In this paper, we obtain an index formula for elliptic operators on manifolds with cylindrical ends in the case where the cylinder's base is a torus of arbitrary dimension. The proof of this result relies on a new local algebraic index theorem for families of elliptic symbols and on the surgery of elliptic operators. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
