Pradip Kumar

activity

20112021

most citedExistence of maximal surface containing given curve and special singularity

5 citations · 12 across the 9 of their papers we have counts for

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6 papers · 1 filter

math.DG2021

Swallowtails and cone-like singularities on maxface

Pradip Kumar, Anu Dhochak

When a connected component of the set of singular points of the maxface $X$ consists of only generalized cone-like singular points, we construct a sequence of maxfaces $X_{n}$ , with…

math.DG2021

Approximating singularities by a cuspidal edge on a maxface

Pradip Kumar, Sai Rasmi Ranjan Mohanty

We give necessary and sufficient conditions on the singular Björling data to the singular Björling problem's solution has a prescribed nature of singularity. As an application, we…

math.DG2019★ 1 cited

Local interpolation for minimal surfaces

Rukmini Dey, Pradip Kumar, Rahul Kumar Singh

Let $a : I \to R^{3}$ be a real analytic curve satisfying some conditions. In this article, we show that for any real analytic curve $l : I \to R^{3}$ close to $a$ (in a s…

math.DG2016★ 5 cited

Existence of maximal surface containing given curve and special singularity

Rukmini Dey, Pradip Kumar, Rahul Kumar Singh

We give a different formulation for describing maximal surfaces in Lorentz-Minkowski space, $L^{3}$ , using the identification of $L^{3}$ with $\mathbb C\times \mathbb…

math.DG2013★ 2 cited

Existence of 'Darboux chart' on loop space

Pradip Kumar

For a finite dimensional symplectic manifold $(M, ω)$ with a symplectic form $ω$ , corresponding loop space ( $L M = C^{\infty} (S^{1}, M)$ ) admits a weak symplectic form $Ω^{ω}$ . We prove that…

math.DG2011★ 1 cited

Path space as manifold, manifold of maps, infinite dimensional manifold

Pradip Kumar

Let $M$ be any $n$ dimensional smooth manifold and $P M$ be the space of all smooth paths, then we showed that $P M$ is a smooth manifold modelled over a complete normable space. We…