Essential Killing fields of parabolic geometries: projective and conformal structures

• Autorzy: Andreas Čap , Karin Melnick
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Essential infinitesimal automorphism; Projective structure; Conformal structure; Higher order fixed point

Kategorie tematyczne

• 53A30: Conformal differential geometry
• 53A20: Projective differential geometry
• 58J70: Invariance and symmetry properties
• 53B15: Other connections

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 12
• Strony: 2053-2061

Daty

wydano

2013-12-01

online

2013-10-08

Twórcy

autor

Andreas Čap

• University of Vienna,

autor

Karin Melnick

• University of Maryland,

Bibliografia

• [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
• [2] Čap A., Slovák J., Parabolic Geometries I, Math. Surveys Monogr., 154, American Mathematical Society, Providence, 2009
• [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
• [4] Frances C., Melnick K., Formes normales pour les champs conformes pseudo-riemanniens, Bull. Soc. Math. France, 2013, 141(3), 377–421
• [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

Identyfikatory

DOI

10.2478/s11533-013-0317-6