BUNDLES

作品数：96被引量：108H指数：5
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Section extension from hyperbolic geometry of punctured disk and holomorphic family of flat bundles
《Science China Mathematics》2011年第8期1767-1802,共36页SIU Yum-Tong 
supported by Grant 1001416 of the National Science Foundation
The construction of sections of bundles with prescribed jet values plays a fundamental role in problems of algebraic and complex geometry.When the jet values are prescribed on a positive dimensional subvariety,it is h...
关键词：estimate Ohsawa-Takegoshi extension hyperbolic geometry of punctured disk flatly twisted pluricanoincal section Gelfond-Schneider technique 
Twisted analytic torsion被引量：1
《Science China Mathematics》2010年第3期555-563,共9页MATHAI Varghese 
We review the Reidemeister, Ray-Singer’s analytic torsion and the Cheeger-Mller theorem. We describe the analytic torsion of the de Rham complex twisted by a flux form introduced by the current authors and recall its...
关键词：ANALYTIC TORSION circle BUNDLES T-DUALITY 
Cohomology of bundles on homological Hopf manifolds
《Science China Mathematics》2009年第12期2688-2698,共11页LIBGOBER Anatoly 
supported by National Science Foundation
We discuss the properties of complex manifolds having rational homology of S 1 × S 2n?1 including those constructed by Hopf, Kodaira and Brieskorn-van de Ven. We extend certain previously known properties of cohomolo...
关键词：Hopf manifolds cohomology of vector bundles local systems universal covers Stein spaces 32J27 32Q55 32M17 32S25 32Q28 
Harmonic maps into loop spaces eliminate of compact Lie groups
《Science China Mathematics》2008年第4期695-706,共12页Armen Glebovich SERGEEV 
This work was partly supported by the RFBR(Grant Nos.04-01-00236,06-02-04012);by the program of Support of Scientific Schools(Grant No.1542.2003.1);by the Scientific Program of RAS"Nonlinear Dynamics"
We study harmonic maps from Riemann surfaces M to the loop spacesΩG of compact Lie groups G,using the twistor approach.We conjecture that harmonic maps of the Riemann sphere CP^1 intoΩG are related to Yang-Mills G-f...
关键词：HARMONIC MAPS YANG-MILLS FIELDS twistor BUNDLES 
DIFFUSION PROCESSES ON PRINCIPAL BUNDLES AND DIFFERENTIAL OPERATORS ON THE ASSOCIATED BUNDLES被引量：1
《Science China Mathematics》1992年第4期385-398,共14页王正栋 郭懋正 钱敏 
Project supported by TWAS GR no. 86-30.
The lifting of diffusion processes and differential operators on a Riemannian base spaceM to diffusion processes on a principal bundle P and differential operators on the associatedbundle are studied. It has been prov...
关键词：diffusion process INFINITESIMAL GENERATOR CONNECTION ASSOCIATED bundle. 
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