Research profile

Ditter Tasayco

Works on self-shrinkers & translators, scalar curvature and stability & uniqueness.

NP-RC-664643

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Self-shrinkers & translatorsScalar curvatureStability & uniquenessMean curvature flow

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  1. Detang Zhou

    1 joint worklatest 2016

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2016

math.DGWider flowsarXiv:1609.09046

Uniqueness of grim hyperplanes for mean curvature flows

Ditter Tasayco, Detang Zhou

In this paper we show that an immersed nontrivial translating soliton for mean curvature flow in ( is a grim hyperplane if and only if it is mean convex and has weighted total extrinsic curvature of at most quadratic growth. For an embedded translating soliton with nonnegative scalar curvature, we prove that if the mean curvature of does not change signs on each end, then must have positive scalar curvature unless it is either a hyperplane or a grim hyperplane.

Mean curvature flowSelf-shrinkers & translatorsScalar curvatureStability & uniqueness
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NP-RC-664643 is Ditter Tasayco's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.

A window on one part of a person's work: papers here go back to 2016 and cover Ricci flow and its neighbouring flows, with the older work the site recommends, so this page is no measure of anyone's whole output. Being listed is not an endorsement by or of the person. If two people share this name, their work may appear together here. How it is put together.