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2010•Czech digital mathematics libraryOpen access

Transversal biwave maps

Yuan-Jen Chiang, Robert Wolak

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Abstract

In this paper, we prove that the composition of a transversal biwave map and a transversally totally geodesic map is a transversal biwave map.We show that there are biwave maps which are not transversal biwave maps, and there are transversal biwave maps which are not biwave maps either.We prove that if f is a transversal biwave map satisfying certain condition, then f is a transversal wave map.We finally study the transversal conservation laws of transversal biwave maps.

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What this paper is about

In this paper, we prove that the composition of a transversal biwave map and a transversally totally geodesic map is a transversal biwave map.We show that there are biwave maps which are not transversal biwave maps, and there are transversal biwave maps which are not biwave maps either.We prove that if f is a transversal biwave map satisfying certain condition, then f is a transversal wave map.We finally study the transversal conservation laws of transversal biwave maps.

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Available abstract

In this paper, we prove that the composition of a transversal biwave map and a transversally totally geodesic map is a transversal biwave map.We show that there are biwave maps which are not transversal biwave maps, and there are transversal biwave maps which are not biwave maps either.We prove that if f is a transversal biwave map satisfying certain condition, then f is a transversal wave map.We finally study the transversal conservation laws of transversal biwave maps.

Key concepts: Transversal (combinatorics), Geodesic, Mathematics, Geometry, Mathematical analysis

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