Genus Zero Complete Maximal Maps and Maxfaces with an Arbitrary Number of Ends

Author:

Pradip Kumar, Sai Rashmi Ranjan Mohanty

Keyword:

Mathematics, Differential Geometry, Differential Geometry (math.DG)

journal:

date:

2023-06-14 16:00:00

Abstract

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.

PDF: Genus Zero Complete Maximal Maps and Maxfaces with an Arbitrary Number of Ends.pdf