On a problem of Avhadiev.
Kuznetsov, Alexander (2004)
Lobachevskii Journal of Mathematics
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Kuznetsov, Alexander (2004)
Lobachevskii Journal of Mathematics
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Sharma, Ramesh (1989)
International Journal of Mathematics and Mathematical Sciences
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Hiroshi Haruki (1977)
Annales Polonici Mathematici
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Fritz Rothberger (1967)
Colloquium Mathematicae
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Klaus Menke (1985)
Annales Polonici Mathematici
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Jan Gregorovič, Lenka Zalabová (2015)
Archivum Mathematicum
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In this article, we summarize the results on symmetric conformal geometries. We review the results following from the general theory of symmetric parabolic geometries and prove several new results for symmetric conformal geometries. In particular, we show that each symmetric conformal geometry is either locally flat or covered by a pseudo-Riemannian symmetric space, where the covering is a conformal map. We construct examples of locally flat symmetric conformal geometries that are not...
Michael Eastwood (2014)
Archivum Mathematicum
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The standard conformal compactification of Euclidean space is the round sphere. We use conformal geodesics to give an elementary proof that this is the only possible conformal compactification.
Emel'yanov, E.G. (2004)
Zapiski Nauchnykh Seminarov POMI
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Roitman, Michael (2005)
Journal of Lie Theory
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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.