Guan, P. (2009). A Geodesic Equation for the Space of Sasakian metrics. Perimeter Institute for Theoretical Physics. https://pirsa.org/09050036
MLA
Guan, Pengfei. A Geodesic Equation for the Space of Sasakian metrics. Perimeter Institute for Theoretical Physics, May. 09, 2009, https://pirsa.org/09050036
BibTex
@misc{ scivideos_PIRSA:09050036,
doi = {10.48660/09050036},
url = {https://pirsa.org/09050036},
author = {Guan, Pengfei},
keywords = {},
language = {en},
title = {A Geodesic Equation for the Space of Sasakian metrics},
publisher = {Perimeter Institute for Theoretical Physics},
year = {2009},
month = {may},
note = {PIRSA:09050036 see, \url{https://scivideos.org/pirsa/09050036}}
}
"Sasakian geometry is often described as an odd dimensional counterparts of K\""ahler geometry. There is a natural Riemannian metric on the space of Sasakian metrics, which in turn gives a geodesic equation on this space. It can be viewed as parallel case of a well-known geodesic equation for the space of K\""ahler metrics. The equation is connected to some interesting geometric properties of Sasakian manifolds. It is a complicated complex Monge-Amp\`ere type involving
gradient terms. We discuss the problem of existence and regularity of solutions of this type of equations. This is a joint work with Xi Zhang."