Journal of the Ramanujan Mathematical Society

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Existence of Maximal Surface Containing Given Curve and Special Singularity


Affiliations
1 International Centre for Theoretical Sciences, Bengaluru - 560089, India
2 Department of Mathematics, Shiv Nadar University, Dadri 201314, Uttar Pradesh, India
3 Department of Mathematics, Harish-Chandra Research Institute, HBNI, Chhatnag Road, Jhunsi, Allahabad 211019, Uttar Pradesh, India
     

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We give a different formulation for describing maximal surfaces in Lorentz-Minkowski space, ๐•ƒ3, using the identification of ๐•ƒ3 with โ„‚ร—โ„. Further we give a different proof for the singular Bjorling problem for the case of closed real analytic null curve. As an application, we show the existence of maximal surface which contains a given curve and has a special singularity.
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  • Existence of Maximal Surface Containing Given Curve and Special Singularity

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Authors

Rukmini Dey
International Centre for Theoretical Sciences, Bengaluru - 560089, India
Pradip Kumar
Department of Mathematics, Shiv Nadar University, Dadri 201314, Uttar Pradesh, India
Rahul Kumar Singh
Department of Mathematics, Harish-Chandra Research Institute, HBNI, Chhatnag Road, Jhunsi, Allahabad 211019, Uttar Pradesh, India

Abstract


We give a different formulation for describing maximal surfaces in Lorentz-Minkowski space, ๐•ƒ3, using the identification of ๐•ƒ3 with โ„‚ร—โ„. Further we give a different proof for the singular Bjorling problem for the case of closed real analytic null curve. As an application, we show the existence of maximal surface which contains a given curve and has a special singularity.

References