Conformal geometry and its applications in differential equations

Prelegent(ci)

Marcin Bobieński

Afiliacja

Uniwersytet Warszawski

Termin

13 marca 2009 10:15

Pokój

p. 5840

Seminarium

Seminarium Zakładu Układów Dynamicznych

---

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.

---