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Singularities of lightcone pedals of spacelike curves in Lorentz-Minkowski 3-space

100%

Chen L.

Open Mathematics

2016

tom 14

nr 1

889-896

In this paper, geometric properties of spacelike curves on a timelike surface in Lorentz-Minkowski 3-space are investigated by applying the singularity theory of smooth functions from the contact viewpoint.

The area preserving curve shortening flow with Neumann free boundary conditions

86%

Mäder-Baumdicker E.

Geometric Flows

2015

tom 1

nr 1

We study the area preserving curve shortening flow with Neumann free boundary conditions outside of a convex domain in the Euclidean plane. Under certain conditions on the initial curve the flow does not develop any singularity, and it subconverges smoothly to an arc of a circle sitting outside of the given fixed domain and enclosing the same area as the initial curve.

Ograniczanie wyników

1 Geometric Flows

1 Open Mathematics

1 Chen L.

1 Mäder-Baumdicker E.

1 2016

1 2015

Wyniki wyszukiwania

Singularities of lightcone pedals of spacelike curves in Lorentz-Minkowski 3-space

The area preserving curve shortening flow with Neumann free boundary conditions