Research profile

Hiroshi Konno

Works on Lagrangian mean curvature flow, Ricci-flat & Calabi–Yau and 4-manifolds.

NP-RC-2690440000-0003-4784-1483

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Lagrangian mean curvature flowRicci-flat & Calabi–Yau4-manifoldsHomogeneous spacesSelf-shrinkers & translatorsKähler geometrySingularitiesMean curvature flow

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Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.

2017

math.DGWider flowsv4arXiv:1703.00090

Lagrangian Mean Curvature Flows and Moment maps

Hiroshi Konno

In this paper, we construct various examples of Lagrangian mean curvature flows in Calabi-Yau manifolds, using moment maps for actions of abelian Lie groups on them. The examples include Lagrangian self-shrinkers and translating solitons in the Euclidean spaces. Moreover, our method can be applied to construct examples of Lagrangian mean curvature flows in non-flat Calabi-Yau manifolds. In particular, we describe Lagrangian mean curvature flows in 4-dimensional Ricci-flat ALE spaces in detail and investigate their singularities.

Mean curvature flowLagrangian mean curvature flowRicci-flat & Calabi–YauSelf-shrinkers & translatorsSingularities4-manifoldsKähler geometryHomogeneous spaces
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NP-RC-269044 is Hiroshi Konno'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. How it is put together.