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Some canonical metrics on Kähler orbifoldsFaulk, Mitchell January 2019 (has links)
This thesis examines orbifold versions of three results concerning the existence of canonical metrics in the Kahler setting. The first of these is Yau's solution to Calabi's conjecture, which demonstrates the existence of a Kahler metric with prescribed Ricci form on a compact Kahler manifold. The second is a variant of Yau's solution in a certain non-compact setting, namely, the setting in which the Kahler manifold is assumed to be asymptotic to a cone. The final result is one due to Uhlenbeck and Yau which asserts the existence of Kahler-Einstein metrics on stable vector bundles over compact Kahler manifolds.
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Families of polarized abelian varieties and a construction of Kähler metrics of negative holomorphic bisectional curvature on Kodaira surfacesTsui, Ho-yu. January 2006 (has links)
Thesis (M. Phil.)--University of Hong Kong, 2006. / Title proper from title frame. Also available in printed format.
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Einstein metrics on bundles.Wang, Jun. Wang, M.Y. Unknown Date (has links)
Thesis (Ph.D.)--McMaster University (Canada), 1996. / Source: Dissertation Abstracts International, Volume: 58-06, Section: B, page: 3083. Adviser: McKenzie Wang.
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L (superscript 2)-cohomology and L (superscript 2)-harmonic forms for complete noncompact Kahler and warped product metrics /Hunsicker, Eugenie. January 1999 (has links)
Thesis (Ph. D.)--University of Chicago, Dept. of Mathematics, August 1999. / Includes bibliographical references. Also available on the Internet.
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Kähler-Einstein metrics and Sobolev inequality /Sun, Jian, January 2000 (has links)
Thesis (Ph. D.)--University of Chicago, Dept. of Mathematics, June 2000. / Includes bibliographical references. Also available on the Internet.
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Perturbations of Kähler-Einstein metrics /Roth, John Charles. January 1999 (has links)
Thesis (Ph. D.)--University of Washington, 1999. / Vita. Includes bibliographical references (leaves [86]-88).
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