0000000000876377

AUTHOR

M. C. Romero-fuster

showing 2 related works from this author

The horospherical geometry of surfaces in hyperbolic 4-space

2006

We study some geometrical properties associated to the contacts of surfaces with hyperhorospheres inH + 4 (−1). We introduce the concepts of osculating hyperhorospheres, horobinormals, horoasymptotic directions and horospherical points and provide conditions ensuring their existence. We show that totally semiumbilical surfaces have orthogonal horoasymptotic directions.

Normal fieldGeneral MathematicsGeometryAlgebra over a fieldSpace (mathematics)MathematicsOsculating circleIsrael Journal of Mathematics
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Graphs of stable maps from closed surfaces to the projective plane

2018

Abstract We describe how to attach a weighted graph to each stable map from closed surfaces to projective plane and prove that any weighted graph with non negatively weighted vertices is the graph of some stable map from a closed surface to the projective plane.

Discrete mathematicsPlane curve010102 general mathematicsLine at infinity01 natural sciencesPlanar graph010101 applied mathematicsCombinatoricssymbols.namesakeBlocking setReal projective planesymbolsProjective spaceGeometry and TopologyProjective plane0101 mathematicsPencil (mathematics)MathematicsTopology and its Applications
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