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Submanifolds in Manifolds with Metric Mixed 3-Structures |
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| Authors: | Stere Ianu? Liviu Ornea Gabriel Eduard V?lcu |
| Institution: | 1. Faculty of Mathematics and Computer Science, University of Bucharest, Str. Academiei 14, Bucharest, 70109, Romania 2. Institute of Mathematics ??Simion Stoilow?? of the Romanian Academy, Calea Grivi?ei 21, Bucharest, 010702, Romania 3. Department of Mathematics and Computer Science, Petroleum-Gas University of Ploie?ti, Bulevardul Bucure?ti 39, Ploie?ti, 100680, Romania 4. Research Center in Geometry, Topology and Algebra, University of Bucharest, Str. Academiei 14, Bucharest, 70109, Romania |
| Abstract: | Mixed 3-structures are odd-dimensional analogues of paraquaternionic structures. They appear naturally on lightlike hypersurfaces of almost paraquaternionic hermitian manifolds. We study invariant and anti-invariant submanifolds in a manifold endowed with a mixed 3-structure and a compatible (semi-Riemannian) metric. Particular attention is given to two cases of ambient space: mixed 3-Sasakian and mixed 3-cosymplectic. |
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