Geodesic
Géométrie et Topologie
Genus Zero Complete Maximal Maps and Maxfaces with an Arbitrary Number of Ends
Kumar, Pradip1  ; Mohanty, Sai Rasmi Ranjan1
1 Department of Mathematics, Shiv Nadar Institute of Eminence, Deemed to be University, Dadri 201314, Uttar Pradesh, India
Comptes Rendus. Mathématique, Tome 361 (2023) no. G10, pp. 1683-1690

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

Kumar, Pradip 1 ; Mohanty, Sai Rasmi Ranjan 1

1 Department of Mathematics, Shiv Nadar Institute of Eminence, Deemed to be University, Dadri 201314, Uttar Pradesh, India
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {Genus {Zero} {Complete} {Maximal} {Maps} and {Maxfaces} with an {Arbitrary} {Number} of {Ends}},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {1683--1690},
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     year = {2023},
     doi = {10.5802/crmath.525},
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Kumar, Pradip; Mohanty, Sai Rasmi Ranjan. Genus Zero Complete Maximal Maps and Maxfaces with an Arbitrary Number of Ends. Comptes Rendus. Mathématique, Tome 361 (2023) no. G10, pp. 1683-1690. doi: 10.5802/crmath.525

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