Geometric construction of the Levi-Civita parallelism.
Kock, Anders (1998)
Theory and Applications of Categories [electronic only]
Similarity:
Kock, Anders (1998)
Theory and Applications of Categories [electronic only]
Similarity:
Anders Kock (2004)
Open Mathematics
Similarity:
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
Similarity:
Catalano, D.A. (2006)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Nobuhiro Innami (1982)
Compositio Mathematica
Similarity:
Irena Hinterleitner (2013)
Publications de l'Institut Mathématique
Similarity:
Andrzej Derdzinski (2012)
Open Mathematics
Similarity:
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
Similarity:
Robin C. Graham (2007)
Archivum Mathematicum
Similarity:
Jet isomorphism theorems for conformal geometry are discussed. A new proof of the jet isomorphism theorem for odd-dimensional conformal geometry is outlined, using an ambient realization of the conformal deformation complex. An infinite order ambient lift for conformal densities in the case in which harmonic extension is obstructed is described. A jet isomorphism theorem for even dimensional conformal geometry is formulated using the inhomogeneous ambient metrics recently introduced...