Conformal vector fields in symmetric and conformal symmetric spaces.
Sharma, Ramesh (1989)
International Journal of Mathematics and Mathematical Sciences
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Sharma, Ramesh (1989)
International Journal of Mathematics and Mathematical Sciences
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Ornea, Liviu, Romani, Giuliano (1993)
Beiträge zur Algebra und Geometrie
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Branson, Thomas
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The paper represents the lectures given by the author at the 16th Winter School on Geometry and Physics, Srni, Czech Republic, January 13-20, 1996. He develops in an elegant manner the theory of conformal covariants and the theory of functional determinant which is canonically associated to an elliptic operator on a compact pseudo-Riemannian manifold. The presentation is excellently realized with a lot of details, examples and open problems.
Kuznetsov, Alexander (2004)
Lobachevskii Journal of Mathematics
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Branson, Thomas P.
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Jesse Alt (2012)
Open Mathematics
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For (M, [g]) a conformal manifold of signature (p, q) and dimension at least three, the conformal holonomy group Hol(M, [g]) ⊂ O(p + 1, q + 1) is an invariant induced by the canonical Cartan geometry of (M, [g]). We give a description of all possible connected conformal holonomy groups which act transitively on the Möbius sphere S p,q, the homogeneous model space for conformal structures of signature (p, q). The main part of this description is a list of all such groups which also act...