GRASSMANNIANS

作品数：8被引量：6H指数：1
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相关期刊：《Science China Mathematics》《Algebra Colloquium》《Acta Mathematica Scientia》《Chinese Annals of Mathematics,Series B》更多>>
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Schubert Class and Cyclotomic NilHecke Algebras
《Algebra Colloquium》2021年第3期379-398,共20页Kai Zhou Jun Hu 
The research was supported by the National Natural Science Foundation of China(No.11525102).
Let l and n be positive integers such that l≥n,and let Gn,l be the Grassmannian which consists of the set of n-dimensionsil subspaces of C^(l),There is a Z-graded algebra isomorphism between the cohomology H*(Gn,l,Z)...
关键词：cyclotomic nilHecke algebras GRASSMANNIANS Schur polynomials 
Feature Patch Illumination Spaces and Karcher Compression for Face Recognition via Grassmannians被引量：1
《Advances in Pure Mathematics》2012年第4期226-242,共17页Jen-Mei Chang Chris Peterson Michael Kirby 
Recent work has established that digital images of a human face, when collected with a fixed pose but under a variety of illumination conditions, possess discriminatory information that can be used in classification. ...
关键词：GRASSMANNIANS Karcher Mean Face Recognition ILLUMINATION SPACES Compressions FEATURE PATCHES Principal ANGLES 
CONSTRUCTION OF HOMOGENEOUS MINIMAL 2-SPHERES IN COMPLEX GRASSMANNIANS被引量：1
《Acta Mathematica Scientia》2011年第5期1889-1898,共10页费杰 焦晓祥 许小卫 
supported by the NSFC (11071248, 11071249);supported by the Fundamental Research Funds for the Central Universities(USTC)
In this paper, we construct a class of homogeneous minimal 2-spheres in complex Grassmann manifolds by applying the irreducible unitary representations of SU （2）. Furthermore, we compute induced metrics, Gaussian cu...
关键词：homogeneous 2-sphere Gaussian curvature Khler angle Veronese sequence complex Grassmann manifold 
Real Hypersurfaces in Complex Two-Plane Grassmannians Whose Jacobi Operators Corresponding to -Directions are of Codazzi Type
《Advances in Pure Mathematics》2011年第3期67-72,共6页Carlos J. G. Machado Juan de Dios Pérez Young Jin Suh 
We prove the non-existence of Hopf real hypersurfaces in complex two-plane Grassmannians whose Jacobi operators or the Jacobi corresponding to the directions in the distribution are of Codazzi type if they satisfy a f...
关键词：Real HYPERSURFACES Complex Two-Plane GRASSMANNIANS JACOBI Operators Codazzi TYPE 
HOMOLOGY RIGIDITY OF GRASSMANNIANS
《Acta Mathematica Scientia》2009年第3期697-704,共8页李方 段海豹 
Supported by NSFC (10631060)
Applying the theory of Grbner basis to the Schubert presentation for the cohomology of Grassmannians [2], we extend the homology rigidity results known for the classical Grassmanians to the exceptional cases.
关键词：GRASSMANNIANS COHOMOLOGY 
Characterization of standard embeddings between complex Grassmannians by means of varieties of minimal rational tangents被引量：3
《Science China Mathematics》2008年第4期660-684,共25页MOK Ngaiming 
This research is partially supported by a Competitive Earmarked Research Grant of the Research Grants Council of Hong Kong,China
In 1993, Tsai proved that a proper holomorphic mapping f: Ω → Ω′ from an irreducible bounded symmetric domain Ω of rank ? 2 into a bounded symmetric domain Ω′ is necessarily totally geodesic provided that r′:=...
关键词：minimal rational curves varieties of minimal rational tangents analytic continuation RIGIDITY bounded symmetric domains proper holomorphic maps 14J45 32M15 32H35 53C10 
ON PSEUDO-HOLOMORHPIC CURVESIN COMPLEX GRASSMANNIANS被引量：1
《Chinese Annals of Mathematics,Series B》1999年第3期341-350,共10页SHENYIBING DONGYUXING 
Further geometry and topology for pseudo-holomorphic curves in complex Grassmannians Gm(CN) are studied. Some curvature pinching theorems for pseudo- holomorphic curyes with constant Kahler angles in Gm(CN) are obtain...
关键词：Pseudo-holomorphic curve Complex Grassmannian Kahler angle Curvature pinching 
Totally real minimal surfaces in complex Grassmannians
《Chinese Science Bulletin》1995年第14期1163-1166,共4页莫小欢 
Given a harmonic map φfrom a Riemann surface M into the complex projectivespace CP^n, by using the -transform associated to the map φ, Chern et al. obtained the se-quence of harmonic maps. We call it a harmonic sequ...
关键词：MINIMAL SURFACE COMPLEX GRASSMANNIAN totally real. 
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