Nihonkai Mathematical Journal

Geometric realizations of curvature

Miguel Brozos-Vázquez, Peter Gilkey, and Stana Nikčević

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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.

Article information

Nihonkai Math. J., Volume 20, Number 1 (2009), 1-24.

First available in Project Euclid: 10 March 2010

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 53Cxx: Global differential geometry [See also 51H25, 58-XX; for related bundle theory, see 55Rxx, 57Rxx]

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


Brozos-Vázquez, Miguel; Gilkey, Peter; Nikčević, Stana. Geometric realizations of curvature. Nihonkai Math. J. 20 (2009), no. 1, 1--24.

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