Genus Zero Complete Maximal Maps and Maxfaces with an Arbitrary Number of Ends
Pradip Kumar, Sai Rashmi Ranjan Mohanty
Mathematics, Differential Geometry, Differential Geometry (math.DG)
We prove the existence of a genus-zero complete maximal map with a prescribed singularity set and an arbitrary number of simple and complete ends. We also discuss the conditions under which this maximal map can be made into a complete maxface.
Genus Zero Complete Maximal Maps and Maxfaces with an Arbitrary Number of Ends.pdf
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