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Curvature Estimates of Hypersurfaces in the minkowski space

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Chinese Annals of Mathematics,Series B 2013年第5期34卷 753-764页

作者： Yong HUANG Wuhan Institute of Physics and Mathematics Chinese Academy of Sciences

A class of curvature estimates of spacelike admissible hypersurfaces related to translating solitons of the higher order mean curvature flow in the minkowski space is ob- tained, which may offer an idea to study an op... 详细信息

关键词： minkowski space Hypersurface Curvature estimates Translating solitons

RELAXED ELASTIC LINES OF SECOND KIND ON ORIENTED SURFACE IN minkowski space

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Applied Mathematics and Mechanics(English Edition) 2006年第11期27卷 1481-1489页

作者： Ayhan TUTAR Ayhan SARIO■LUG■L Ondokuz Mayis University Faculty of Science and ArtsDepartment of MathematicsKurupelit-Samsun55139Turkey

The relaxed elastic line of second kind on an oriented surface in the minkowski space was defined and for the relaxed elastic line of second kind which is lying on an oriented surface the Euler-Lagrange equations were derived. Furthermore, whether these curves lie on a curvature line or not was investigated and some applications were given.

关键词： elastic line geodesic minkowski space Euler-Lagrange equations

Some New Translation Surfaces in 3-minkowski space

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Journal of Mathematical Research and Exposition 2011年第6期31卷 1123-1128页

作者： Yuan YUAN Hui Li LIU Department of Mathematics Northeastern UniversityLiaoning 110004P.R.China

In this paper we study translation surfaces of some new types in 3-minkowski space E13 and give some classifications of such surfaces whose mean curvature and Gauss curvature satisfy certain conditions.

关键词： minkowski space translation surface Weingarten surface.

Group Inverse of 2 × 2 Block Matrices over minkowski space M

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Advances in Linear Algebra & Matrix Theory 2016年第3期6卷 75-87页

作者： Dandapany Krishnaswamy Tasaduq Hussain Khan Department of Mathematics Annamalai University Annamalai Nagar India

Necessary and sufficient conditions for the existence of the group inverse of the block matrix in minkowski space are studied, where are both square and . The representation of this group inverse and some related addi... 详细信息

关键词： Block Matrix Group Inverse minkowski Adjoint minkowski space

AN APPLICATION OF RITT-WU＇S ZERO DECOMPOSITION ALGORITHM TO THE PSEUDO NULL BERTRAND TYPE CURVES IN minkowski 3-space

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Journal of Systems Science & Complexity 2011年第2期24卷 358-366页

作者： Kamm ILARSLAN Mehmet YILDIRIM Faculty of Arts and Sciences Department of Mathematics K~mkkalc University Yahgihan 71450 KirikkaleTurkiye

The Bertrand curves were first studied using a computer by Wu （1987）. The same problem was studied using an improved version of Ritt-Wu＇s decomposition algorithm by Chou and Gao （1993）. This paper investigates th... 详细信息

关键词： Bertrand curves mechanical theorem proving minkowski space pseudo-null curve Ritt-Wu's method.

Surface Pencil with a Common Line of Curvature in minkowski 3-space

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Acta Mathematica Sinica,English Series 2014年第12期30卷 2103-2118页

作者： Evren ERGN Ergin BAYRAM Emin KASAP Ondokuz Mayis University arsamba Chamber of Commerce Vocational School Ondokuz Mayis University Faculty of Arts and SciencesMathematics Department

In this paper, we analyze the problem of constructing a surface pencil from a given spacelie （timelike） line of curvature. Using the Frenet frame of the given line of curvature in minkowski 3-space, we express the surface pencil as a linear combination of this frame and derive the necessary and sufficient conditions for the coefficients to satisfy the line of curvature requirement. We illustrate this method by presenting some examples.

关键词： minkowski space line of curvature surface pencil

The mean curvature flow in minkowski spaces

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Science China Mathematics 2018年第10期61卷 1833-1850页

作者： Fanqi Zeng Qun He Bin Chen School of Mathematical Sciences Tongji University

Studying the geometric flow plays a powerful role in mathematics and physics. In this paper, we introduce the mean curvature flow on Finsler manifolds and give a number of examples of the mean curvature flow. For minkowski spaces, a special case of Finsler manifolds, we prove the short time existence and uniqueness for solutions of the mean curvature flow and prove that the flow preserves the convexity and mean *** also derive some comparison principles for the mean curvature flow.

关键词： anisotropic mean curvature mean curvature flow Finsler manifold minkowski space convexity

spacelike Hypersurfaces of Prescribed Gauss-Kronecker Curvature in Exterior Domains

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Acta Mathematica Sinica,English Series 2009年第3期25卷 491-502页

作者： Yong HUANGWuhan Huai Yu JIAN Ning SU Institute of Physics and Mathematics Chinese Academy of Sciences Wuhan 430071 P. R. China Department of Mathematical Sciences Tsinghua University Beijing 100084 P. R. China nsu@math tsinghua edu. cn

In this paper, we prove an existence theorem for spacelike convex hypersurfaces of prescribed Gauss curvature in minkowski space.

关键词： Gauss-Kronecker curvature minkowski space Monge-Ampere type equation

A kind of 1form metrics in two dimensional Finsler space

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西南师范大学学报(自然科学版) 1999年第5期24卷 526-530页

作者： Yang Guojun 1,Nie\ Zhi 2 1 Department of Mathematics,Southwest China Normal University,Chongqing 400715 2 Department of Mathematics,Chongqing Teachers College,Yongchuan 402168 西南师范大学数学系重庆重庆师范学院数学系重庆

The geodesics and T minkowski for a kind of 1 form metrics in two dimensional Finsler space are studied,and a generalization of a propositon concerning about geodesic equations is obtained.

关键词： Finsler space 1 form metric geodosic minkowski space T minkowski space indicatrix OKubos method