Dirac operators on hypersurfaces

Jarolím Bureš

Commentationes Mathematicae Universitatis Carolinae (1993)

  • Volume: 34, Issue: 2, page 313-322
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Bureš, Jarolím. "Dirac operators on hypersurfaces." Commentationes Mathematicae Universitatis Carolinae 34.2 (1993): 313-322. <http://eudml.org/doc/247506>.

@article{Bureš1993,
abstract = {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.},
author = {Bureš, Jarolím},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {spin structure; Dirac operator; induced Dirac operator on submanifolds; Dirac operators; codimension 1 submanifold},
language = {eng},
number = {2},
pages = {313-322},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Dirac operators on hypersurfaces},
url = {http://eudml.org/doc/247506},
volume = {34},
year = {1993},
}

TY - JOUR
AU - Bureš, Jarolím
TI - Dirac operators on hypersurfaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1993
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 34
IS - 2
SP - 313
EP - 322
AB - 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.
LA - eng
KW - spin structure; Dirac operator; induced Dirac operator on submanifolds; Dirac operators; codimension 1 submanifold
UR - http://eudml.org/doc/247506
ER -

References

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  1. Baston R., Eastwood M., The Penrose Transform: its interaction with representation theory, Oxford Univ. Press, Oxford, 1989. Zbl0726.58004MR1038279
  2. Baum H., Spin-Strukturen und Dirac-Operatoren über pseudo-riemannschen Mannigfaltigheiten, Leipzig, 1981. 
  3. Baum H., Friedrich Th., Grunewald R., Kath I., Twistor and Killing spinors on Riemannian manifolds, Seminarbericht Nr.108, Berlin, Juli 1990. Zbl0705.53004MR1084369
  4. Brackx F., Delanghe R., Sommen F., Clifford analysis, Research Notes in Math., 76, Pitman, 1982. Zbl1058.30043MR0697564
  5. Delanghe R., Sommen F., Souček V., Clifford Algebra and Spinor-Valued Functions, Math. and Its Applications, Kluwer, 1992. MR1169463
  6. Bureš J., The Dirac operator, Mimeographed lecture notes MÚKU, 1991, . 
  7. Helgason S., Analysis on Lie groups and homogeneous spaces, Reg. conf. series in Math. 14 (1972), American Math. Society. Zbl0264.22010MR0316632
  8. Sommen F., Monogenic functions on surfaces, Journal Reine Angew. Math. 361 (1985), 145-181. (1985) Zbl0557.30042MR0807257
  9. Lawson B., Michelsohn M.-L., Spin Geometry, Princeton University Press, Princeton, 1989. Zbl0688.57001MR1031992

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