Journal of the Ramanujan Mathematical Society
Volume 33, Issue 4, December 2018 pp. 455–471.
Existence of maximal surface containing given curve and special singularity
Authors:
Rukmini Dey, Pradip Kumar and Rahul Kumar Singh
Author institution:International Centre for Theoretical Sciences, Bengaluru 560 089, India
Summary:
We give a different formulation for describing maximal surfaces in
Lorentz-Minkowski space, L3, using the identification
of L3 with C × R. Further we give
a different proof for the singular Bjöorling 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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