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.
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Showing 1 to 8 of 8 for “"harmonic map"”.
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Self-shrinkers of mean curvature flow and harmonic map heat flow with rough boundary data
… with Longzhi Lin, we establish estimates for the harmonic map heat flow from the unit circle into a closed manifold, and use it to construct sweepouts with the following good property: each curve in the tightened sweepout, whose energy is close to the maximal energy of curves in the sweepout, is …
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Harmonic maps of trivalent trees
This thesis is a study of harmonic maps of trivalent trees into Euclidean space. The existence of such maps is established, and uniqueness is shown to hold up to a certain isotopy condition. Moreover, within its particular isotopy class, each harmonic map is shown to be a local minimum for the …
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On contact homology of the unit cotangent bundle of a Riemann surface with genus greater than one
… related the pseudo-holomorphic curve equation to harmonic map equations and a Cauchy-Riemann type equation perturbed with quadratic terms for functions on a punctured Riemann sphere. Then I prove a Theorem that gives one to one correspondence between solutions to the perturbed Cauchy-Riemann …
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The evolution equations for Dirac-harmonic Maps
… thesis investigates the gradient flow of Dirac-harmonic maps. Dirac-harmonic maps are critical points of an energy functional that is motivated from supersymmetric field theories. The critical points of this energy functional couple the equation for harmonic maps with spinor fields. At present, …
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Geometry of Ricci-flat Kähler manifolds and some counterexamples
… and providing a first example of a proper harmonic map from the unit disk to a complex plane. In the end, we prove that the union closed set conjecture is equivalent to a strengthened version, giving a construction which might lead to a counterexample.
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Yang-Mills replacement
We develop an analog of the harmonic replacement technique of Colding and Minicozzi in the gauge theory context. The idea behind harmonic replacement dates back to Schwarz and Perron, and the technique involves taking a function v: ... defined on a surface ... and replacing its values on a small …
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Geometric quantization and dynamical constructions on the space of Kähler metrics
… Riemannian manifold with boundary and a smooth map from its boundary into the space of toric Kähler metrics there exists a harmonic map from the manifold with these boundary values and, up to the first two derivatives, it is the limit of harmonic maps from the Riemannian manifold into the spaces …
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ON SOME GEOMETRIC PROPERTIES OF 𝜑-STATIC SPACES
… con φ-static spaces, che consistono in una mappa fra varietà Riemanniane e una funzione detta potenziale sulla varietà di partenza, le quali soddisfano un sistema accoppiato di PDE. Tali spazi rientrano come caso specifico di spazi statici, in quanto sono varietà Riemanniane tramite le …