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Spacelike Zero Mean Curvature Surfaces in $${\mathbb {L}}^{4}$$

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We present new explicit parametrizations of spacelike zero mean curvature surfaces in four-dimensional Lorentz–Minkowski space $${\mathbb {L}}^{4}$$. The surfaces are the solutions of the Bjorling problem whose core curve is… Click to show full abstract

We present new explicit parametrizations of spacelike zero mean curvature surfaces in four-dimensional Lorentz–Minkowski space $${\mathbb {L}}^{4}$$. The surfaces are the solutions of the Bjorling problem whose core curve is a circle and a helix and the tangent planes are expressed in terms of trigonometric functions.

Keywords: curvature surfaces; mean curvature; zero mean; surfaces mathbb; spacelike zero

Journal Title: Bulletin of the Malaysian Mathematical Sciences Society
Year Published: 2019

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