Singer invariants and various types of curvature homogeneity

Author:

Dunn Corey,McDonald Cullen

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Analysis

Reference18 articles.

1. Bueken, P., Djorić, M.: Three-dimensional Lorentz metrics and curvature homogeneity of order one. Ann. Glob. Anal. Geom. 18, 85–103 (2000)

2. Dunn, C.: A new family of curvature homogeneous pseudo-Riemannian manifolds. Rocky Mt. J. Math. 39(5), 1443–1465 (2009)

3. Dunn, C., Gilkey, P.: Curvature homogeneous manifolds which are not locally homogeneous. Complex Contact Symmetric Manifolds 234, 145–152 (2005)

4. Dunn, C., Gilkey, P., Nikc̆ević, S.: Curvature homogeneous signature (2,2) manifolds, differential geometry and its applications. In: Proceedings of the 9th International Conference, pp. 29–44 (2004)

5. García-Río, E., Gilkey, P., Nikčević, S.: Homogeneity of Lorentzian three-manifolds with recurrent curvature, to appear in Mathematische Nachrichten (2013). http://arxiv.org/abs/1210.7764

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1. Algebraic restrictions on geometric realizations of curvature models;Archivum Mathematicum;2021

2. A common generalization of curvature homogeneity theories;Journal of Geometry;2020-03-11

3. Aspects of Differential Geometry III;Synthesis Lectures on Mathematics and Statistics;2017-05-25

4. Homothety curvature homogeneity and homothety homogeneity;Annals of Global Analysis and Geometry;2015-04-18

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