Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 10 of 10 for “"Geometry, Differential"”.
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The differential geometry of general surface in S₄
Thesis (M.A.)--Michigan State College of Agriculture and Applied Science. (Dept. of Mathematics), 1937
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Projective differential geometry of certain surfaces in a space of four dimensions
Thesis (M.A.)--Michigan State College of Agriculture and Applied Science, 1934
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Covering problem with minimum radius enclosing circle
This study extends the classical smallest enclosing circle problem in location science to optimize healthcare communication hubs. Given a set of demand points and potential groups, we identify the optimal number of subgroups to cover all points and the circle enclosing them with minimum radius. The …
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Limiting Properties of Certain Geometric Flows in Complex Geometry
In this thesis, we study convergence results of certain non-linear geometric flows on vector bundles over complex manifolds. First we consider the case of a semi-stable vector bundle E over a compact Kahler manifold X of arbitrary dimension. We show that in this case Donaldson's functional is …
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Einstein constraints gluing and toroidal cusps
Isenberg, Mazzeo, and Pollack construct a connected sum gluing for constant mean curvature initial data sets to the vacuum Einstein Field Equations, obtaining new initial data on the joined manifold. The new data set is arbitrarily close to the original data set outside of the gluing region, …
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Survey of Generalized Contact Structures
… and complex structures. Generalized complex geometry provides a natural geometric framework to understand certain recent developments in string physics, and has developed into an active area of research. Very recently, an odd dimensional analogue of a generalized complex structure, namely a …
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The analytic and asymptotic behaviors of vortices
… vortex equations into the elliptic partial differential equations considered in \cite{kw} and obtain a family of solutions. Our results show that away from a singular set, such a family exhibit well controlled convergent behaviors, leading us to prove conjectures posed by Baptista in …
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Gross-Siebert Mirror Ring for Smooth log Calabi-Yau Pairs
In this paper, we exhibit a formula relating punctured Gromov-Witten invariants used by Gross and Siebert in [GS2] to 2-point relative/logarithmic Gromov-Witten invariants with one point-constraint for any smooth log Calabi-Yau pair (W, D). Denote by Na,b the number of rational curves in W meeting …
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Ricci Curvature of Noncommutative Three Tori, Entropy, and Second Quantization
In noncommutative geometry, the metric information of a noncommutative space is encoded in the data of a spectral triple $(mathcal{A}, mathcal{H},D)$, where $D$ plays the role of the Dirac operator acting on the Hilbert space of spinors. Ideas of spectral geometry can then be used to define …