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Now showing items 151-155 of 155
Harmonic Map Heat Flow and Framed Surface-group Representations
This thesis concerns the construction of harmonic maps from certain non-compact
surfaces into hyperbolic 3-space H3 with prescribed asymptotic behavior and has two
parts.
The focus of the first part is when the domain ...
Dominating surface-group representations via Fock-Goncharov coordinates
Pls see Abstract pdf file
Existence and implications of positively curved metrics on holomorphic vector bundles
This thesis is divided into two parts. In the first part, we study interpolating and uniformly flat hypersurfaces in complex Euclidean space. The study of interpolation and sampling in the Bargmann-Fock spaces on the complex ...
Geometry of normed linear spaces in light of Birkhoff-James orthogonality
In this thesis, we have tried to understand the geometry of normed spaces in the light of Birkhoff-James orthogonality. Using the first two chapters to give introductory notes and to establish relevant notations and ...
On regular subalgebras of symmetrizable Kac-Moody algebras and related combinatorics
In this thesis, we study two aspects of Kac-Moody algebras. One is to understand the subalgebras that can be embedded inside a Kac-Moody algebra as subalgebras generated by real root vectors. The other one is to explicitly ...