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Submanifolds associated with graphs |
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| Authors: | Alfonso Carriazo Luis M Ferná ndez |
| Institution: | Department of Geometry and Topology, Faculty of Mathematics, University of Sevilla, Apdo. Correos 1160, 41080-Sevilla, Spain ; Department of Geometry and Topology, Faculty of Mathematics, University of Sevilla, Apdo. Correos 1160, 41080-Sevilla, Spain |
| Abstract: | In this paper we present an interesting relationship between graph theory and differential geometry by defining submanifolds of almost Hermitian manifolds associated with certain kinds of graphs. We show some results about the possibility of a graph being associated with a submanifold and we use them to characterize CR-submanifolds by means of trees. Finally, we characterize submanifolds associated with graphs in a four-dimensional almost Hermitian manifold. |
| Keywords: | Almost Hermitian manifold CR-submanifold slant submanifold graph theory |
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