Essential Killing fields of parabolic geometries: projective and conformal structures

Andreas Čap; Karin Melnick

Open Mathematics (2013)

  • Volume: 11, Issue: 12, page 2053-2061
  • ISSN: 2391-5455

Abstract

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We use the general theory developed in our article [Čap A., Melnick K., Essential Killing fields of parabolic geometries, Indiana Univ. Math. J. (in press)], in the setting of parabolic geometries to reprove known results on special infinitesimal automorphisms of projective and conformal geometries.

How to cite

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Andreas Čap, and Karin Melnick. "Essential Killing fields of parabolic geometries: projective and conformal structures." Open Mathematics 11.12 (2013): 2053-2061. <http://eudml.org/doc/269212>.

@article{AndreasČap2013,
abstract = {We use the general theory developed in our article [Čap A., Melnick K., Essential Killing fields of parabolic geometries, Indiana Univ. Math. J. (in press)], in the setting of parabolic geometries to reprove known results on special infinitesimal automorphisms of projective and conformal geometries.},
author = {Andreas Čap, Karin Melnick},
journal = {Open Mathematics},
keywords = {Essential infinitesimal automorphism; Projective structure; Conformal structure; Higher order fixed point; essential infinitesimal automorphism; projective structure; conformal structure; higher-order fixed point},
language = {eng},
number = {12},
pages = {2053-2061},
title = {Essential Killing fields of parabolic geometries: projective and conformal structures},
url = {http://eudml.org/doc/269212},
volume = {11},
year = {2013},
}

TY - JOUR
AU - Andreas Čap
AU - Karin Melnick
TI - Essential Killing fields of parabolic geometries: projective and conformal structures
JO - Open Mathematics
PY - 2013
VL - 11
IS - 12
SP - 2053
EP - 2061
AB - We use the general theory developed in our article [Čap A., Melnick K., Essential Killing fields of parabolic geometries, Indiana Univ. Math. J. (in press)], in the setting of parabolic geometries to reprove known results on special infinitesimal automorphisms of projective and conformal geometries.
LA - eng
KW - Essential infinitesimal automorphism; Projective structure; Conformal structure; Higher order fixed point; essential infinitesimal automorphism; projective structure; conformal structure; higher-order fixed point
UR - http://eudml.org/doc/269212
ER -

References

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  1. [1] Čap A., Melnick K., Essential Killing fields of parabolic geometries, Indiana Univ. Math. J. (in press), preprint availabe at http://arxiv.org/abs/1208.5510 Zbl1294.53045
  2. [2] Čap A., Slovák J., Parabolic Geometries I, Math. Surveys Monogr., 154, American Mathematical Society, Providence, 2009 Zbl1183.53002
  3. [3] Frances C., Local dynamics of conformal vector fields, Geom. Dedicata, 2012, 158, 35–59 http://dx.doi.org/10.1007/s10711-011-9619-7 Zbl1246.53096
  4. [4] Frances C., Melnick K., Formes normales pour les champs conformes pseudo-riemanniens, Bull. Soc. Math. France, 2013, 141(3), 377–421 
  5. [5] Nagano T., Ochiai T., On compact Riemannian manifolds admitting essential projective transformations, J. Fac. Sci. Univ. Tokyo Sect. IA Math., 1986, 33(2), 233–246 Zbl0645.53022

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