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

top
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

top

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

top
  1. Complex paraconformal manifolds: their differential geometry and twistor theory, Forum Math. 3 (1991), 61–103. (1991) Zbl0728.53005MR1085595
  2. Thomas’s structure bundle for conformal, projective and related structures, Rocky Mountain J. 24 (1994), 1191–1217. (1994) Zbl0828.53012MR1322223
  3. Verma modules and differential conformal invariants, J. Differential Geometry 32 (1990), 851–898. (1990) Zbl0732.53011MR1078164
  4. The Penrose Transform: Its Interaction with Representation Theory, Oxford University Press, 1989. (1989) Zbl0726.58004MR1038279
  5. A note on endomorphisms of modules over reductive Lie groups and algebras, Proceedings of the Conference Differential Geometry and Applications, Brno, 1995, pp. 127–131, electronically available at www.emis.de. 
  6. Invariant operators on manifolds with almost hermitian symmetric structures, I. invariant differentiation, Preprint ESI 186 (1994), electronically available at www.esi.ac.at. (1994) MR1474550
  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) Zbl0659.53047MR0880414
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.