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《PROGRESS IN GEOPHYSICS》 1999-02
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ISOPARAMETRIC FUNCTIONS AND THEIR APPLICATION IN GRAVITY FIELDS

Wang Dongming; Zhu zhuoyuan(Department of Geophysics, Beijing Univeraity, 100871 )  
In this paper the notions and theories of isoparamtric functions and isoparametrichypersurfaces are introduced, the generalized concept of parallelism is presented. It'sproved that parallel gravity field is one of planar field, spherical field and cylindric field,the theoretic misclosure of geometric levelling vanishs in parallel gravity field;Undisturbed earth's gravity field under the status of hydrostatic equilibrium is parallel gravity field, and its distribution of mass density is spherically Symmetric.
【Fund】: 国家自然科学基金!49484002
【CateGory Index】: P312.1
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 WANG DONG-MING(Institute of Geodesy and Geophysics, Chinese Academy of Sciences, Wuhan 430077, China);HOLONOMIC AND ANHOLONOMIC COORDINATES IN GRAVITY FIELD[J];Chinese Journal of Geophysics;1997-01
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Deng Mike (Computer institute, Beijing Polytechnic University, Beijing, 100022 ) Xiao Liang (Department of Mathematics, Graduate School of USTC, Beijing, 100039 );A Class of Isoparametric Hypersurfaces in Quaternion Projective Space[J];JOURNAL OF BEIJING POLYTECHNIC UNIVERSITY;2000-01
2 WANG DONG-MING (Department of Geophysics, Peking University, Beijing 100871, China);COMPUTING EARTH'S GRAVITY AND GRAVITY GRADIENT USING GEOPOTENTIAL MODEL[J];Chinese Journal of Geophysics;1999-S1
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9 TANG Zizhou (Department of Applied Mathematics, Tsinghua University, Beijing 100084, China);Harmonic polynomial morphisms between Euclidean spaces[J];中国科学A辑(英文版);1999-06
10 HU Zejun;LI Haizhong Department of Mathematics, Zhengzhou University Zhengzhou 450052, China Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China;Classification of hypersurfaces with parallel Mbius second fundamental form in S~(n+1)[J];中国科学A辑(英文版);2004-03
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