Special Riemannian Metrics and Curvature Functionals
timetable:
Fri 10 Jun, 12:00 - 13:00,
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Four-dimensional homogeneous critical metrics (online participation)
speaker: Eduardo Garcia Rio (Universidade Santiago de Compostela)abstract: The purpose of this lecture is to present some new results on the classification of homogeneous critical metrics for quadratic curvature functionals in low dimensions. While a complete picture is available in the threedimensional case, dimension four is much more involved. Critical metrics with zero energy are of special interest since they contain homogeneous Ricci solitons. We show that any such homogeneous metric is indeed a Ricci soliton except some special cases realized as left-invariant metrics on a semi-direct product R n R3.
timetable:
Fri 10 Jun, 12:00 - 13:00,
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