BUNDLES

作品数:98被引量:108H指数:5
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EXISTENCE OF SOME SPECIAL CONFORMALLY-KAHLER METRICS ON CERTAIN CP1 BUNDLES
《Acta Mathematica Scientia》2025年第2期525-539,共15页Jing CHEN Daniel GUAN 
supported by the Nature Science Foundation of China(12171140).
In this paper,we prove that for certain fiber bundles there is a k-Futaki-Ono conformally Kahler metric related to a metric in any given Kahler class for any k≥2.
关键词:Hermitian metrics conformally-Kahler metrics complex manifolds scalar curvature fiber bundle almost homogeneous manifolds 
Non-invariance of Weak Approximation with Brauer-Manin Obstruction
《Algebra Colloquium》2024年第4期595-608,共14页Han Wu 
NSFC(Grant Nos.12071448,12301014).
We study weak approximation with Brauer-Manin obstruction with respect to extensions of number fields.For any nontrivial extension L/K,assuming a conjecture of M.Stoll,we prove that there exists a K-threefold satisfyi...
关键词:rational points weak approximation Brauer-Manin obstruction Chatelet surfaces Chatelet surface bundles over curves 
Projective Bundles and Blowing-Ups Ⅱ
《Algebra Colloquium》2024年第1期57-62,共6页Duo Li 
supported by National Natural Science Foundation of China(12001547);Guangdong Basic and Applied Basic Research Foundation(2019A1515110907).
We study the blowing-up X of a smooth projective variety X along a smooth center B that is equipped with a projective bundle structure over a variety Z.If the Picard number p(X)is 1 and dim X is at most 4,we classify ...
关键词:BLOWING-UP projective bundle Fano bundle 
MAXWELL-EINSTEIN METRICS ON COMPLETIONS OF CERTAIN C* BUNDLES被引量:2
《Acta Mathematica Scientia》2023年第1期363-372,共10页关庄丹 
supported by NSFC(12171140)。
In this paper,we prove that for some completions of certain fiber bundles there is a Maxwell-Einstein metric conformally related to any given Kahler class.
关键词:Hermitian metrics Maxwell-Einstein metrics complex manifolds scalar curvature fiber bundle almost homogeneous manifolds 
Deformations of Compact Complex Manifolds with Ample Canonical Bundles
《Chinese Annals of Mathematics,Series B》2023年第1期1-16,共16页Shiyu CAO 
supported by the National Natural Science Foundation of China (No. 11931007)
In this paper,the author discusses the deformations of compact complex manifolds with ample canonical bundles.It is known that a complex manifold has unobstructed deformations when it has a trivial canonical bundle or...
关键词:Complex structures Deformations Iteration Methods 
Convergence of Impact Measures and Impact Bundles
《Journal of Data and Information Science》2022年第3期5-19,共15页Leo Egghe 
The author thanks Li Li(National Science Library,CAS)for drawing Figure 1.
Purpose:A new point of view in the study of impact is introduced.Design/methodology/approach:Using fundamental theorems in real analysis we study the convergence of well-known impact measures.Findings:We show that poi...
关键词:Pointwise and uniform convergence of impact measures and bundles Second Dini theorem Arzelà’s theorem Bundle classification Generalized h-and g-indices PERCENTILES 
Reaction-Diffusion Algorithm for Quantitative Analysis of Periodic V-Shaped Bundles of Hair Cells in the Inner Ear被引量:1
《Journal of Biosciences and Medicines》2022年第3期240-251,共12页Hiroto Shoji Ryo Iwamoto 
Columnar outer hair cells of the inner ear form V-shaped bundles, which are arranged in three rows in the cochlea. If the formation of these V-shaped bundles is disturbed, sensorineural hearing loss occurs. To quantif...
关键词:REACTION-DIFFUSION TURING TRIANGLE Inner Ear 
On Some Recent Progress in Complex Geometry-the Area Related to Homogeneous Manifolds被引量:1
《Chinese Quarterly Journal of Mathematics》2020年第2期111-144,共34页GUAN Daniel 
the Natural Science Foundation of Henan University。
In this article,we give a survey of some progress of the complex geometry,mostly related to the Lie group actions on compact complex manifolds and complex homogeneous spaces in the last thirty years.In particular,we e...
关键词:Invariant structure Homogeneous space Complex torus bundles Hermitian manifolds Reductive Lie group Compact manifolds Ricci form Locally conformal Kahler manifolds 
HERMITIAN-EINSTEIN METRICS FOR HIGGS BUNDLES OVER COMPLETE HERMITIAN MANIFOLDS
《Acta Mathematica Scientia》2020年第1期211-225,共15页Debin LIU Pan ZHANG 
supported in part by NSFC(11625106,11571332,11721101);the second author was supported by the Fundamental Research Funds for the Central Universities(19lgpy239)。
In this paper,we solve the Dirichlet problem for the Hermitian-Einstein equations on Higgs bundles over compact Hermitian manifolds.Then we prove the existence of the Hermitian-Einstein metrics on Higgs bundles over a...
关键词:Higgs BUNDLES COMPLETE HERMITIAN manifolds Hermitian-Einstein metric 
A Contribution to the DLF-Theory: On Singularities of the SU(2,2)-Action in U(1,1)
《Journal of Modern Physics》2016年第15期1963-1971,共10页Alexander Levichev 
Segal’s chronometric theory is based on a space-time D, which might be viewed as a Lie group with a causal structure defined by an invariant Lorentzian form on the Lie algebra u(2). Similarly, the space-time F is rea...
关键词:Parallelizations of Space-Time Bundles Segal’s Cosmos Conformal Group Actions in U(2) and in U(1 1) 
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