| Title:
|
Dirac operators on hypersurfaces (English) |
| Author:
|
Bureš, Jarolím |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
34 |
| Issue:
|
2 |
| Year:
|
1993 |
| Pages:
|
313-322 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper some relation among the Dirac operator on a Riemannian spin-manifold $N$, its projection on some embedded hypersurface $M$ and the Dirac operator on $M$ with respect to the induced (called standard) spin structure are given. (English) |
| Keyword:
|
spin structure |
| Keyword:
|
Dirac operator |
| Keyword:
|
induced Dirac operator on submanifolds |
| MSC:
|
53A50 |
| MSC:
|
53C20 |
| MSC:
|
58G03 |
| MSC:
|
58J05 |
| idZBL:
|
Zbl 0781.53031 |
| idMR:
|
MR1241739 |
| . |
| Date available:
|
2009-01-08T18:03:35Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118583 |
| . |
| Reference:
|
[1] Baston R., Eastwood M.: The Penrose Transform: its interaction with representation theory.Oxford Univ. Press, Oxford, 1989. Zbl 0726.58004, MR 1038279 |
| Reference:
|
[2] Baum H.: Spin-Strukturen und Dirac-Operatoren über pseudo-riemannschen Mannigfaltigheiten.Leipzig, 1981. |
| Reference:
|
[3] Baum H., Friedrich Th., Grunewald R., Kath I.: Twistor and Killing spinors on Riemannian manifolds.Seminarbericht Nr.108, Berlin, Juli 1990. Zbl 0705.53004, MR 1084369 |
| Reference:
|
[4] Brackx F., Delanghe R., Sommen F.: Clifford analysis.Research Notes in Math., 76, Pitman, 1982. Zbl 1058.30043, MR 0697564 |
| Reference:
|
[5] Delanghe R., Sommen F., Souček V.: Clifford Algebra and Spinor-Valued Functions.Math. and Its Applications, Kluwer, 1992. MR 1169463 |
| Reference:
|
[6] Bureš J.: The Dirac operator, Mimeographed lecture notes MÚKU, 1991.. |
| Reference:
|
[7] Helgason S.: Analysis on Lie groups and homogeneous spaces.Reg. conf. series in Math. 14 (1972), American Math. Society. Zbl 0264.22010, MR 0316632 |
| Reference:
|
[8] Sommen F.: Monogenic functions on surfaces.Journal Reine Angew. Math. 361 (1985), 145-181. Zbl 0557.30042, MR 0807257 |
| Reference:
|
[9] Lawson B., Michelsohn M.-L.: Spin Geometry.Princeton University Press, Princeton, 1989. Zbl 0688.57001, MR 1031992 |
| . |
