Geometric construction of the Levi-Civita parallelism.
Kock, Anders (1998)
Theory and Applications of Categories [electronic only]
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Kock, Anders (1998)
Theory and Applications of Categories [electronic only]
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Anders Kock (2004)
Open Mathematics
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We describe for any Riemannian manifold M a certain scheme M L, lying in between the first and second neighbourhood of the diagonal of M. Semi-conformal maps between Riemannian manifolds are then analyzed as those maps that preserve M L; harmonic maps are analyzed as those that preserve the (Levi-Civita-) mirror image formation inside M L.
Yun, Gabjin (2002)
International Journal of Mathematics and Mathematical Sciences
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Catalano, D.A. (2006)
International Journal of Mathematics and Mathematical Sciences
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Nobuhiro Innami (1982)
Compositio Mathematica
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Irena Hinterleitner (2013)
Publications de l'Institut Mathématique
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Andrzej Derdzinski (2012)
Open Mathematics
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The connected components of the zero set of any conformal vector field v, in a pseudo-Riemannian manifold (M, g) of arbitrary signature, are of two types, which may be called ‘essential’ and ‘nonessential’. The former consist of points at which v is essential, that is, cannot be turned into a Killing field by a local conformal change of the metric. In a component of the latter type, points at which v is nonessential form a relatively-open dense subset that is at the same time a totally...
Jozef Tvarožek (1984)
Časopis pro pěstování matematiky
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