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Geometric structures modeled after smooth projective horospherical varieties of Picard number one

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Authors
김신영
Advisor
임선희
Major
자연과학대학 수리과학부
Issue Date
2016-02
Publisher
서울대학교 대학원
Keywords
geometric structurelocal equivalencehorospherical varietyCartan geometryprolongation
Description
학위논문 (박사)-- 서울대학교 대학원 : 수리과학부, 2016. 2. 임선희.
Abstract
Geometric structures modeled after homogeneous manifolds are studied to
characterize homogeneous manifolds and to prove the deformation rigidity of
them. To generalize these characterizations and deformation rigidity results to
quasihomogeneous manifolds, we first study horospherical varieties and geo
metric structures modeled after horospherical varieties. Using Cartan geom
etry, we prove that a geometric structure modeled after a smooth projective
horospherical variety of Picard number one is locally equivalent to the stan
dard geometric structure when the geometric structure is defined on a Fano
manifold of Picard number one.
Language
English
URI
https://hdl.handle.net/10371/121311
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College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Theses (Ph.D. / Sc.D._수리과학부)
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