Geometry & Topology Volume 23, issue 1 (2019)

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ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

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Topology of automorphism groups of parabolic geometries

Charles Frances and Karin Melnick

Geometry & Topology 23 (2019) 135–169

DOI: 10.2140/gt.2019.23.135

Bibliography

1	J Ferrand, The action of conformal transformations on a Riemannian manifold, Math. Ann. 304 (1996) 277 MR1371767
2	C Frances, Sur le groupe d’automorphismes des géométries paraboliques de rang 1, Ann. Sci. École Norm. Sup. 40 (2007) 741 MR2382860
3	C Frances, Dégénerescence locale des transformations conformes pseudo-riemanniennes, Ann. Inst. Fourier (Grenoble) 62 (2012) 1627 MR3025150
4	C Frances, K Melnick, Conformal actions of nilpotent groups on pseudo-Riemannian manifolds, Duke Math. J. 153 (2010) 511 MR2667424
5	M Gromov, Rigid transformations groups, from: "Géométrie différentielle" (editors D Bernard, Y Choquet-Bruhat), Travaux en Cours 33, Hermann (1988) 65 MR955852
6	G P Hochschild, Basic theory of algebraic groups and Lie algebras, 75, Springer (1981) MR620024
7	A W Knapp, Lie groups beyond an introduction, 140, Birkhäuser (1996) MR1399083
8	S Kobayashi, Transformation groups in differential geometry, 70, Springer (1972) MR0355886
9	J Lelong-Ferrand, Geometrical interpretations of scalar curvature and regularity of conformal homeomorphisms, from: "Differential geometry and relativity" (editors M Cahen, M Flato), Mathematical Phys. and Appl. Math. 3, Reidel (1976) 91 MR0442846
10	K Melnick, A Frobenius theorem for Cartan geometries, with applications, Enseign. Math. 57 (2011) 57 MR2850584
11	S B Myers, N E Steenrod, The group of isometries of a Riemannian manifold, Ann. of Math. 40 (1939) 400 MR1503467
12	K Nomizu, On the group of affine transformations of an affinely connected manifold, Proc. Amer. Math. Soc. 4 (1953) 816 MR0059049
13	R S Palais, A global formulation of the Lie theory of transformation groups, 22, Amer. Math. Soc. (1957) MR0121424
14	E A Ruh, On the automorphism group of a G–structure, Comment. Math. Helv. 39 (1964) 189 MR0177368
15	R Schoen, On the conformal and CR automorphism groups, Geom. Funct. Anal. 5 (1995) 464 MR1334876
16	R W Sharpe, Differential geometry : Cartan’s generalization of Klein’s Erlangen program, 166, Springer (1997) MR1453120
17	S Sternberg, Lectures on differential geometry, Prentice Hall (1964) MR0193578
18	N Tanaka, On the equivalence problems associated with simple graded Lie algebras, Hokkaido Math. J. 8 (1979) 23 MR533089
19	A Čap, J Slovák, Parabolic geometries, I : Background and general theory, 154, Amer. Math. Soc. (2009) MR2532439