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Differential Geometry Seminar: Killing tensors on complex projective space
- Date: Fri, 3 May 2024, 12:10 pm - 1:00 pm
- Location: Engineering North N218
The Killing tensors on the round sphere are well understood. In particular, these are finite-dimensional vector spaces with very nice formulae for their dimensions.
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Differential Geometry Seminar: Killing tensors on symmetric spaces
- Date: Fri, 17 May 2024, 12:10 pm - 1:00 pm
- Location: Engineering North N218
I will present some recent results on the structure of the algebra of Killing tensors on Riemannian symmetric spaces. The fundamental question is whether any Killing tensor field on a Riemannian symmetric space is a polynomial in (a symmetric product of) Killing vector fields.
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Differential Geometry Seminar: Nearly Kähler geometry and totally geodesic submanifolds
- Date: Fri, 31 May 2024, 12:10 pm - 1:00 pm
- Location: Engineering North N218
A theorem of Butruille asserts that the (simply connected, homogeneous) Riemannian manifolds of dimension six admitting a strict nearly Kähler metric are the round sphere S6, the space F(C3) of full flags in C3, the complex projective space CP3 and the almost product S3 x S3.
