We study geometric realization questions of curvature in the affine, Riemannian, almost
Hermitian, almost para Hermitian, almost hyper Hermitian, almost hyper para Hermitian,
Hermitian, and para Hermitian settings. We also express questions in Ivanov-Petrova
geometry, Osserman geometry, and curvature homogeneity in terms of geometric
realizations.
Publié le : 2009-05-15
Classification:
Differential geometry,
geometric realization,
affine geometry,
pseudo Riemannian geometry,
affine and Riemannian geometry,
almost Hermitian geometry,
Almost hyper Hermitian geometry,
Hermitian Geometry,
Ivanov-Petrova geometry,
Osserman Geometry,
Curvature homogeneity,
53Cxx
@article{1268251393,
author = {Brozos-V\'azquez, Miguel and Gilkey, Peter and Nik\v cevi\'c, Stana},
title = {Geometric realizations of curvature},
journal = {Nihonkai Math. J.},
volume = {20},
number = {1},
year = {2009},
pages = { 1-24},
language = {en},
url = {http://dml.mathdoc.fr/item/1268251393}
}
Brozos-Vázquez, Miguel; Gilkey, Peter; Nikčević, Stana. Geometric realizations of curvature. Nihonkai Math. J., Tome 20 (2009) no. 1, pp. 1-24. http://gdmltest.u-ga.fr/item/1268251393/