Translation of natural operators on manifolds with AHS-structures

Andreas Čap

Archivum Mathematicum (1996)

  • Volume: 032, Issue: 4, page 249-266
  • ISSN: 0044-8753

Abstract

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We introduce an explicit procedure to generate natural operators on manifolds with almost Hermitian symmetric structures and work out several examples of this procedure in the case of almost Grassmannian structures.

How to cite

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Čap, Andreas. "Translation of natural operators on manifolds with AHS-structures." Archivum Mathematicum 032.4 (1996): 249-266. <http://eudml.org/doc/18468>.

@article{Čap1996,
abstract = {We introduce an explicit procedure to generate natural operators on manifolds with almost Hermitian symmetric structures and work out several examples of this procedure in the case of almost Grassmannian structures.},
author = {Čap, Andreas},
journal = {Archivum Mathematicum},
keywords = {invariant operator; AHS structure; paraconformal structure; almost Grassmannian structure; translation principle; invariant operators; translation principle; AHS structures; almost Grassmannian structure},
language = {eng},
number = {4},
pages = {249-266},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Translation of natural operators on manifolds with AHS-structures},
url = {http://eudml.org/doc/18468},
volume = {032},
year = {1996},
}

TY - JOUR
AU - Čap, Andreas
TI - Translation of natural operators on manifolds with AHS-structures
JO - Archivum Mathematicum
PY - 1996
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 032
IS - 4
SP - 249
EP - 266
AB - We introduce an explicit procedure to generate natural operators on manifolds with almost Hermitian symmetric structures and work out several examples of this procedure in the case of almost Grassmannian structures.
LA - eng
KW - invariant operator; AHS structure; paraconformal structure; almost Grassmannian structure; translation principle; invariant operators; translation principle; AHS structures; almost Grassmannian structure
UR - http://eudml.org/doc/18468
ER -

References

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  7. Invariant operators on manifolds with almost hermitian symmetric structures, II. normal Cartan connections, Preprint ESI 194 (1995), electronically available at www.esi.ac.at. (1995) MR1620484
  8. Notes on conformal differential geometry, to appear in Rendiconti Circ. Mat. Palermo, Proceedings of the 15th Winter School on Geometry an Physics, Srní, 1995. Zbl0911.53020MR1463509
  9. Conformally invariant differential operators on Minkowski space and their curved analogues, Commun. Math. Phys. 109 (1987), 207–228. (1987) MR0880414
  10. Semiholonomic Verma modules, Preprint ESI 376 (1996), electronically available at www.esi.ac.at. (1996) MR1483772
  11. Extension du calcul des jets aux jets non holonomes, C. R. Acad. Sci. Paris 239 (1954), 1762–1764. (1954) Zbl0057.15603MR0066734
  12. Geometry associated with semisimple flat homogeneous spaces, Trans. Amer. Math. Soc. 152 (1970), 159–193. (1970) Zbl0205.26004MR0284936

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