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ВИДЕОТЕКА |
Международная молодежная конференция «Геометрия и управление»
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Construction of Classical Metrics with Special Holonomies via Geometrical Flows Evgeny Malkovich Sobolev Institute of Mathematics and Novosibirsk State University, Russia |
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Аннотация: Many well-known metrics with curvature restrictions (such as special holonomy) have form $$ \frac{\partial}{\partial t} g= \sqrt{Ric-4K}. $$ We call this flow the Dirac flow. Although the right-hand side of this flow is pseudodifferential operator of the first order the qualitative behavior of this flow is similar to the behavior of Ricci flow (at least for the simplest case of conformally round metric on $$ \frac{\partial}{\partial t}g=\frac{1}{2}{\sqrt{\mathrm{det}(Ric)}}{Ric^{-1}}. $$ then the metric Язык доклада: английский |