Thesis--Helsinki. / Includes bibliographical references (p. [51]).

Akademische Abhandlung--Helsinki. / Includes bibliographical references (p. [77]-78).

Inaug.-diss.--Universität Leipzig.

Th. 3e cycle--Math. pures--Grenoble 1, 1983. N°: 149. / Institut Fourier.

In this thesis we consider a submanifold M of a Riemannian manifold R where M is given as the intersection of level sets of C[symbol omitted] real valued functions defined on R. For a fixed point x in M we construct diffeomorphisms Sx:TMx→M where TMx is the tangent space of M at x. In particular, we determine the Taylor expansion of Sx at 0 in TMx in terms of the Riemannian structure of R and the defining equations of M. / Science, Faculty of / Mathematics, Department of / Graduate

published_or_final_version / abstract / Mathematics / Master / Master of Philosophy

by Tsui Wai-kwok Ricky. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1999. / Includes bibliographical references (leaves 58-59). / Abstracts in English and Chinese. / Chapter 1 --- Preliminary --- p.4 / Chapter 1.1 --- Introduction --- p.4 / Chapter 1.2 --- Some basic theorem --- p.7 / Chapter 2 --- Bubble tree Convergence for a sequence of harmonic map --- p.11 / Chapter 3 --- Heat Flow of Harmonic Maps on Riemann Surface --- p.21 / Chapter 3.1 --- Existence of unique solution to the evolution problem --- p.21 / Chapter 3.1.1 --- Some Basic Estimates --- p.22 / Chapter 3.1.2 --- Existence Result --- p.34 / Chapter 3.1.3 --- Behaviour of solutions near singular points --- p.37 / Chapter 3.2 --- Finite time Blow-up --- p.39 / Chapter 3.3 --- Energy Identity --- p.51 / Bibliography --- p.58

Lau, Sui Ki. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2009. / Includes bibliographical references (leaves 81). / Abstract also in Chinese. / Chapter 1 --- Basic Notions of Riemann Surfaces --- p.5 / Chapter 1.1 --- "Functions, Forms and Hurwitz's Formula" --- p.6 / Chapter 1.2 --- Divisors --- p.10 / Chapter 1.3 --- Plucker's Formula for a Smooth Projective Plane Curve --- p.14 / Chapter 1.4 --- Sheaves and Cohomology --- p.17 / Chapter 2 --- The Riemann-Roch Theorem and Algebraic Curves --- p.27 / Chapter 2.1 --- Finiteness Theorem --- p.27 / Chapter 2.2 --- Transcendence Degree of M(X) --- p.33 / Chapter 2.3 --- The Riemann-Roch Theorem and Serre Duality --- p.37 / Chapter 2.4 --- Holomorphic Embedding in a Projective Space --- p.44 / Chapter 2.5 --- Algebraic Curves --- p.50 / Chapter 3 --- Invertible Sheaves and Line Bundles --- p.55 / Chapter 3.1 --- Algebraic Sheaves --- p.55 / Chapter 3.2 --- Invertible Sheaves --- p.55 / Chapter 3.3 --- Line Bundles --- p.61 / Chapter 3.4 --- Isomorphic Representations of the Picard Group --- p.66 / Chapter 4 --- A Uniqueness Theorem for Algebraic Curves --- p.72 / Chapter 4.1 --- Associated Curves and Normal Forms --- p.72 / Chapter 4.2 --- Proof of a Uniqueness Theorem for Algebraic Curves --- p.76 / Bibliography --- p.81

Thesis (doctoral)--Georg-August-Universität zu Göttingen, 1910. / Vita.

Thesis (M. Phil.)--University of Hong Kong, 2001. / Includes bibliographical references (leaves 116-117).