Conformal geometry and its applications in differential equations

Speaker(s)

Marcin Bobieński

Affiliation

Uniwersytet Warszawski

Date

March 13, 2009, 10:15 a.m.

Room

room 5840

Seminar

Seminar of Dynamical Systems Group

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During my seminar I'd like to recall construction of local conformal invariant of metric in dimension n >= 3. In particular, the conformal flatness of metric is equivalent to vanishing of certain tensorial invariant. Then I will show how conformal invariants can be applied to differential equations. To a differential equation of certain type one can assign a conformal class of metric. Property of this metric can be translated to some property of the equation.

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