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Submanifolds associated with graphs
Authors:Alfonso Carriazo   Luis M. Ferná  ndez
Affiliation: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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