Symmetries of parabolic contact structures |
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Authors: | Lenka Zalabová |
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Affiliation: | Institute of Mathematics and Biomathematics, Faculty of Science, University of South Bohemia, Branišovská 31, ?eské Budějovice, 370 05, Czech Republic |
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Abstract: | We generalize the concept of locally symmetric spaces to parabolic contact structures. We show that symmetric normal parabolic contact structures are torsion-free and some types of them have to be locally flat. We prove that each symmetry given at a point with non-zero harmonic curvature is involutive. Finally we give restrictions on the number of different symmetries which can exist at such a point. |
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Keywords: | 53D10 53B15 53C15 |
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