On curvature homogeneous and locally homogeneous affine connections
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- by Barbara Opozda PDF
- Proc. Amer. Math. Soc. 124 (1996), 1889-1893 Request permission
Abstract:
This paper deals with curvature homogeneous affine connections on $2$-dimensional manifolds. We give a sufficient condition for a projectively flat curvature homogeneous connection to be locally homogeneous and show how to construct curvature homogeneous connections that are not locally homogeneous.References
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Additional Information
- Barbara Opozda
- Affiliation: Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059, Kraków, Poland
- Email: opozda@im.uj.edu.pl
- Received by editor(s): November 15, 1994
- Additional Notes: The research was partially supported by the KBN grant no. 2 P301 030 04.
- Communicated by: Christopher Croke
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 1889-1893
- MSC (1991): Primary 53B05, 53C30
- DOI: https://doi.org/10.1090/S0002-9939-96-03455-7
- MathSciNet review: 1342036