Thesis--Bonn. / Extra t.p. with thesis statement inserted. Includes bibliographical references (p. 49-51).

Thesis (D. Sc.)--Tohoku University. 1999. / "December 1999." Includes bibliographical references (p. 83-84).

Thesis (Ph.D.)--University of Wisconsin--Madison, 1964. / Typescript. Vita. Description based on print version record. Includes bibliographical references (leaves 75-76).

Undergraduate honors paper--Mount Holyoke College, 2005. Dept. of Mathematics. / Includes bibliographical references (leaf 44)

Thesis (Ph. D.)--Johns Hopkins University, 1925. / Vita.

No description available.

No description available.

In the first part of this thesis, we proved a pseudo-locality theorem for a coupled Ricci flow, extending Perelman’s work on Ricci flow to the Ricci flow coupled with heat equation. By use of the reduced distance and the pseudo-locality theorem, we showed that the parabolic rescaling of a Type I coupled Ricci flow with respect to a Type I singular point converges to a non-trivial Ricci soliton. In the second part of the thesis, we prove the existence of infinitely many solutions to the Hull- Strominger system on generalized Calabi-Gray manifolds, more specifically compact non-K \"ahler Calabi-Yau 3-folds with infinitely many distinct topological types and sets of Hodge numbers. We also studied the behavior of the anomaly flow on the generalized Calabi-Gray manifolds, and reduced it to a scalar flow on a Riemann surface. We obtained the long-time existence and convergence after rescaling in the case when the curvature of initial metric is small.

In this thesis, we explore the restrictions imposed on the genus of a smooth curve $X$ which possesses at least three independent gonal morphisms to $\Pp^1$. We will prove a sharp lower bound on the dimension of global sections given by the sum of the divisors for the gonal morphisms. This inequality will provide an upper bound on the genus of a curve with the described properties. By considering the birational image of $X$ in $\Pp^1 \times \Pp^1 \times \Pp^1$ under the product of three pairwise independent morphisms, we observe that the boundary case for the previously mentioned inequality is closely related to the case where the image of $X$ is contained in a type 1-1-1 surface. Motivated by this phenomenon, we examine the constraints on the arithmetic genus of an irreducible curve in $\Pp^1 \times \Pp^1 \times \Pp^1$ whose natural projections are pairwise independent and all have degree 7.

Thesis (Ph. D.)--Florida State University, 2003. / Advisor: Philip L. Bowers, Florida State University, College of Arts and Sciences, Department of Mathematics. Title and description from dissertation home page (viewed Apr. 12, 2004). Includes bibliographical references.