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2015•Publications de l Institut MathematiqueOpen access

Conformal and geodesic mappings of generalized equidistant spaces

Marija S. Najdanović, Milan Lj. Zlatanović, Irena Hinterleitner

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Abstract

We consider conformal and geodesic mappings of generalized equidistant spaces. We prove the existence of mentioned nontrivial mappings and construct examples of conformal and geodesic mapping of a 3-dimensional generalized equidistant space. Also, we find some invariant objects (three tensors and four which are not tensors) of special geodesic mapping of generalized equidistant space.

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What this paper is about

We consider conformal and geodesic mappings of generalized equidistant spaces. We prove the existence of mentioned nontrivial mappings and construct examples of conformal and geodesic mapping of a 3-dimensional generalized equidistant space. Also, we find some invariant objects (three tensors and four which are not tensors) of special geodesic mapping of generalized equidistant space.

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Available abstract

We consider conformal and geodesic mappings of generalized equidistant spaces. We prove the existence of mentioned nontrivial mappings and construct examples of conformal and geodesic mapping of a 3-dimensional generalized equidistant space. Also, we find some invariant objects (three tensors and four which are not tensors) of special geodesic mapping of generalized equidistant space.

Key concepts: Equidistant, Geodesic, Conformal map, Invariant (physics), Extremal length, Mathematics, Space (punctuation), Pure mathematics

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