Special invariant operators I

Jarolím Bureš

Commentationes Mathematicae Universitatis Carolinae (1996)

  • Volume: 37, Issue: 1, page 179-198
  • ISSN: 0010-2628

Abstract

top
The aim of the first part of a series of papers is to give a description of invariant differential operators on manifolds with an almost Hermitian symmetric structure of the type G / B which are defined on bundles associated to the reducible but undecomposable representation of the parabolic subgroup B of the Lie group G . One example of an operator of this type is the Penrose’s local twistor transport. In this part general theory is presented, and conformally invariant operators are studied in more details.

How to cite

top

Bureš, Jarolím. "Special invariant operators I." Commentationes Mathematicae Universitatis Carolinae 37.1 (1996): 179-198. <http://eudml.org/doc/247893>.

@article{Bureš1996,
abstract = {The aim of the first part of a series of papers is to give a description of invariant differential operators on manifolds with an almost Hermitian symmetric structure of the type $G/B$ which are defined on bundles associated to the reducible but undecomposable representation of the parabolic subgroup $B$ of the Lie group $G$. One example of an operator of this type is the Penrose’s local twistor transport. In this part general theory is presented, and conformally invariant operators are studied in more details.},
author = {Bureš, Jarolím},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {invariant operators; Cartan connection; almost hermitian symmetric structures; invariant differential operators; almost Hermitian symmetric structure},
language = {eng},
number = {1},
pages = {179-198},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Special invariant operators I},
url = {http://eudml.org/doc/247893},
volume = {37},
year = {1996},
}

TY - JOUR
AU - Bureš, Jarolím
TI - Special invariant operators I
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1996
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 37
IS - 1
SP - 179
EP - 198
AB - The aim of the first part of a series of papers is to give a description of invariant differential operators on manifolds with an almost Hermitian symmetric structure of the type $G/B$ which are defined on bundles associated to the reducible but undecomposable representation of the parabolic subgroup $B$ of the Lie group $G$. One example of an operator of this type is the Penrose’s local twistor transport. In this part general theory is presented, and conformally invariant operators are studied in more details.
LA - eng
KW - invariant operators; Cartan connection; almost hermitian symmetric structures; invariant differential operators; almost Hermitian symmetric structure
UR - http://eudml.org/doc/247893
ER -

References

top
  1. Baston R., Almost hermitian symmetric manifolds I, Local twistor theory, Duke Math. Journal 63.1 81-112 (1991). (1991) Zbl0724.53019MR1106939
  2. Baston R., Almost hermitian symmetric manifolds II, Differential invariants, Duke Math. Journal 63.2 113-138 (1991). (1991) Zbl0724.53020MR1106940
  3. Bailey T.N., Eastwood M.G., Complex paraconformal manifolds; their differential geometry and twistor theory, Forum Mathematicum 3 61-103 (1991). (1991) Zbl0728.53005MR1085595
  4. Bailey T.N., Eastwood M.R., Gover A.R., Thomas structure bundle for conformal, projective and related structures, preprint. 
  5. Čáp A., Slovák J., Souček V., Invariant operators on manifolds with almost hermitian symmetric structures, I,II, preprints of Schrödinger Institute, Vienna, 1994. 
  6. Delanghe R., Sommen F., Souček V., Clifford Algebra and Spinor-valued Functions, Kluwer, 1992. MR1169463
  7. Ochiai T., Geometry associated with semisimple flat homogeneous spaces, Trans. Amer. Math. Soc. 152 159-193 (1970). (1970) Zbl0205.26004MR0284936
  8. Kostant B., Lie algebra cohomology and the generalized Borel-Weil theorem, Ann. Math 74 329-387 (1961). (1961) Zbl0134.03501MR0142696
  9. Sternberg S., Lectures on Differential Geometry, Prentice Hall, 1964. Zbl0518.53001MR0193578

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.