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Yamabe invariant for complete manifold with nonpositive scalar curvature

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Chinese Science Bulletin 1998年第21期43卷 1790-1793页

作者： CHENG Xu I.M.P.A., Estrada Dona Castorina 110, Jardim Botanico, 22460 Rio de Janeiro, Brazil I. M. P. A. Rio de Janeiro Brazil

A sufficient condition for Yamabe invariants to be non-positive and its applications are obtained.

关键词： Riemannian manifold conformal deformation scalar curvature

The Relational Degree Model Based on curvature and Application

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The Relational Degree Model Based on Curvature and Applicati...

A NOTE ON THE PINCHING CONSTANT OF MINIMAL HYPERSURFACES WITH CONSTANT SCALAR curvature IN THE UNIT SPHERE

第26届中国控制与决策会议

作者： Wu Honghua Mu Yong Deng Lixia School of Mathematical Sciences University of Jinan Mathematics Group Jinan City Yanshan School

ISBN: (纸本)9781479937066

curvature reflects the size of bending degree of curve. In this paper, we put forward a new relational degree model based on curvature of the two series. The new model satisfies the parallel property and uniform property. It is consistent with the actual situation by comparison to the existing relational models. At the end, we give a case in order to validate the new model.

关键词： curvature the relational degree model the property of parallel the property of uniform grey theory

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Chinese Science Bulletin 1991年第1期36卷 1-6页

作者：杨洪苍成庆明 Institute of Mathematics Academia Sinica Beijing 100080 PRC Northeast University of Technology Shenyang 110006 PRC

S. S. Chern posed a problem as follows. Consider the set of all closed minimal hypersurfaces in Sn+1（1） with constant scalar curvature. Take the scalar curvature and the square of the length of the second fundamenta... 详细信息

关键词： minimal hypersurface scalar curvature Pinching constant.

CLOSED SURFACE WITH PRESCRIBED MEAN curvature IN R^3

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Science China Mathematics 1991年第10期34卷 1162-1173页

作者：黄宣国 Institute of Mathematics Fudan University Shanghai 200433 PRC

Suppose H~* is a real function in some region of R^3. By prescribing two conditions onH~*, one can find a surface, which is homeomorphic to a primary closed surface with anarbitrary genus in R^3 and whose mean curvatu... 详细信息

关键词： closed surface mean curvature quasilinear elliptic equation.

On scalar curvature for totally real minimal submanifolds in CP^(n)

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Chinese Science Bulletin 1995年第8期40卷 621-626页

作者：沈一兵东瑜昕郭孝英 Department of Mathematics Hangzhou University Hangzhou 310028 ChinaDepartment of Mathematics Hangzhou University Hangzhou 310028 ChinaDepartment of Mathematics Hangzhou University Hangzhou 310028 China

Let CP^n be a complex projective n-space with the Fubini-Study metric of constantholomorphic sectional curvature c,and M be an n-dimensional compact totally real minimalsubmanifold in CP^n. It is known from refs. [1-3] that if the scalar curvature ρ≥n^2(n-2)c/2(2n-1) for M, then M is either totally geodesic in CP^n or n=2 and ρ=0, and M is a finiteRiemannian covering of the unique flat torus minimally imbedded in CP^2 with the

关键词： totally real minimal submanifold scalar curvature curvature pinching.

ISOMETRIC DEFORMATION BETWEEN SURFACES WITH CONSTANT MEAN curvature

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Chinese Science Bulletin 1989年第11期34卷 889-893页

作者：黄宣国 Institute of Mathematics Fudan University Shanghai

In this note, we shall prove an interesting ***. Let 2 be a piece of surface without an umbilical point in 3-dimensional constant curvature space M3（C） and possess a constant mean curvature C1 （C1>0）. ∑ can be isometric to a piece of the surface ∑* without an umbilical point, ∑* owning a constant mean curvature C2（C2>0 and C1≠C2） in M3（C）

关键词： constant curvature space surfaces with eonstant mean curvature isometric deformation.

curvature　Estimates　for　Strongly　Stable　Domains　on　Surfaces　with　Constant　Mean　curvature　in　Space　Forms

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Chinese Quarterly Journal of Mathematics 1994年第3期9卷 49-52页

作者：王治国吴志勤孙敏

ＣｕｒｖａｔｕｒｅＥｓｔｉｍａｔｅｓｆｏｒＳｔｒｏｎｇｌｙＳｔａｂｌｅＤｏｍａｉｎｓｏｎＳｕｒｆａｃｅｓｗｉｔｈＣｏｎｓｔａｎｔＭｅａｎＣｕｒｖａｔｕｒｅｉｎＳｐａｃｅＦｏｒｍｓ（ＷａｎｇＺｈｉｇｕｏ）；（王治国）（... 详细信息

ＣｕｒｖａｔｕｒｅＥｓｔｉｍａｔｅｓｆｏｒＳｔｒｏｎｇｌｙＳｔａｂｌｅＤｏｍａｉｎｓｏｎＳｕｒｆａｃｅｓｗｉｔｈＣｏｎｓｔａｎｔＭｅａｎＣｕｒｖａｔｕｒｅｉｎＳｐａｃｅＦｏｒｍｓ（ＷａｎｇＺｈｉｇｕｏ）；（王治国）（ＷｕＺｈｉｑｉｎｇ）；（吴志勤）（...

关键词： curvature estheate strongly stable surface constant mean curvature space form

ON THE SURFACES IN E^3 WHOSE MEAN curvature VECTORS ARE EIGENFUNCTIONS

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Chinese Science Bulletin 1992年第2期37卷 174-175页

作者：陈维桓 Department of Mathematics Peking University Bering 100871 PRC

B. Y. Chen pointed out that a compact submanifold x: M^m→E^n is of finite type if and only if its mean curvature vector h satisfies P(△)h=0, where P is a non-trivial polynomial, and △ the Laplacian on M. It is an i... 详细信息

关键词： Laplacian trivial curvature polynomial satisfying pointed latter proving 一龙

A new modified k-ε model accounting for the curvature of the streamline

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Chinese Science Bulletin 1995年第18期40卷 1512-1515页

作者：王少平曾杨兵沈孟育史峰徐忠 Department of Engineering Mechanics Tsinghua University. Beijing 100084 China Department of Power and Mechanics Engineering Xi'an Jiaotong University Xi'an 710049 China

During the past two decades, the k-ε model has played a central role in thecalculation of many of the turbulent flows with scientific and enginneering interest. Howev-er, it appears to be sufficient in predicating the complex turbulent shear layers, such asflowr subjected to curvature and rotations. In the last two decades, a variety of modificationshave been made to the k-ε model to account for many complicating features. In

关键词： k-ε model curvature of the streamline preferential dissipation.