Properties of operators occurring in the Penrose transform

Zbyněk Šír

Commentationes Mathematicae Universitatis Carolinae (2001)

  • Volume: 42, Issue: 4, page 681-690
  • ISSN: 0010-2628

Abstract

top
It is shown that operators occurring in the classical Penrose transform are differential. These operators are identified depending on line bundles over the twistor space.

How to cite

top

Šír, Zbyněk. "Properties of operators occurring in the Penrose transform." Commentationes Mathematicae Universitatis Carolinae 42.4 (2001): 681-690. <http://eudml.org/doc/248823>.

@article{Šír2001,
abstract = {It is shown that operators occurring in the classical Penrose transform are differential. These operators are identified depending on line bundles over the twistor space.},
author = {Šír, Zbyněk},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Penrose transform; conformally invariant operators; Penrose transform; conformally invariant operators},
language = {eng},
number = {4},
pages = {681-690},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Properties of operators occurring in the Penrose transform},
url = {http://eudml.org/doc/248823},
volume = {42},
year = {2001},
}

TY - JOUR
AU - Šír, Zbyněk
TI - Properties of operators occurring in the Penrose transform
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2001
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 42
IS - 4
SP - 681
EP - 690
AB - It is shown that operators occurring in the classical Penrose transform are differential. These operators are identified depending on line bundles over the twistor space.
LA - eng
KW - Penrose transform; conformally invariant operators; Penrose transform; conformally invariant operators
UR - http://eudml.org/doc/248823
ER -

References

top
  1. Baston R.J., Eastwood M.G., The Penrose Transform and its Interaction with Representation Theory, Oxford University Press (1989). (1989) MR1038279
  2. Buchdahl N.P., On the relative de Rham sequence, Proc. Amer. Math. Soc. 87 (1983), 363-366. (1983) Zbl0511.58001MR0681850
  3. Eastwood M.G., A duality for homogeneous bundles on twistor space, J. London Math. Soc. 31 (1985), 349-356. (1985) Zbl0534.14008MR0809956
  4. Griffiths P., Harris J., Principles of Algebraic Geometry, A Wiley-Intescience Publication (1978). (1978) Zbl0408.14001MR0507725
  5. Gunning R.C., Rossi H., Analytic Functions of Several Complex Variables, Prentice-Hall (1965). (1965) Zbl0141.08601MR0180696
  6. Rocha-Cardini A., Splitting criteria for 𝔤 -modules induced from parabolic and the Bernstain-Gelfand-Gelfand resolution of a finite dimensional, irreducible 𝔤 -module, Trans. Amer. Math. Soc. (1980), 262 335-361. (1980) MR0586721
  7. Slovák J., Natural operators on conformal manifolds, Dissertation (1994), Masaryk University Brno. (1994) MR1255551
  8. Ward R.S., Wells R.O., Twistor Geometry and Field Theory, Cambridge University Press (1983). (1983) MR1054377

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.