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Theses Doctoral

Quasi-local energy and isometric embedding

Gimre, Karsten Trevor

In this thesis, we consider the recent definition of gravitational energy at the quasi-local level provided by Mu-Tao Wang and Shing-Tung Yau. Their definition poses a variational question predicated on isometric embedding of Riemannian surfaces into the Minkowski space; as such, there is a naturally associated Euler-Lagrange equation, which is a fourth-order system of partial differential equations for the embedding functions. We prove a perturbation result for solutions of this Euler-Lagrange equation.

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More About This Work

Academic Units
Mathematics
Thesis Advisors
Wang, Mu-Tao
Degree
Ph.D., Columbia University
Published Here
May 4, 2016