Comptes Rendus
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Geometry and Topology
Genus Zero Complete Maximal Maps and Maxfaces with an Arbitrary Number of Ends
Pradip Kumar1 ; Sai Rasmi Ranjan Mohanty1
1 Department of Mathematics, Shiv Nadar Institute of Eminence, Deemed to be University, Dadri 201314, Uttar Pradesh, India
Comptes Rendus. Mathématique, Volume 361 (2023), pp. 1683-1690.

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.

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Published online:
DOI: 10.5802/crmath.525
Classification: 53A35
Keywords: complete maxface, maximal map, zero mean curvature surfaces

Pradip Kumar 1; Sai Rasmi Ranjan Mohanty 1

1 Department of Mathematics, Shiv Nadar Institute of Eminence, Deemed to be University, Dadri 201314, Uttar Pradesh, India
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Pradip Kumar; Sai Rasmi Ranjan Mohanty. Genus Zero Complete Maximal Maps and Maxfaces with an Arbitrary Number of Ends. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 1683-1690. doi : 10.5802/crmath.525. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.525/

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