ON SPECTRAL DECOMPOSITION OF IMMERSIONS OF FINITE-TYPE

被引:29
作者
CHEN, BY
PETROVIC, M
机构
[1] UNIV KRAGUJEVAC,DEPT MATH,KRAGUJEVAC,YUGOSLAVIA
[2] MICHIGAN STATE UNIV,DEPT MATH,E LANSING,MI 48824
关键词
D O I
10.1017/S0004972700029518
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let x : M --> E(m) be an immersion of finite type. In this paper we study the following two problems: (1) When is the spectral decomposition of the immersion x linearly independent? (2) When is the spectral decomposition orthogonal? Several results in this respect were obtained.
引用
收藏
页码:117 / 129
页数:13
相关论文
共 12 条
  • [1] Chen, 1984, TOTAL MEAN CURVATURE
  • [2] Chen B.-Y., 1986, SOOCHOW J MATH, V12, P1
  • [3] Chen B.Y., 1985, FINITE TYPE SUBMANIF
  • [4] RULED SURFACES OF FINITE-TYPE
    CHEN, BY
    DILLEN, F
    VERSTRAELEN, L
    VRANCKEN, L
    [J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1990, 42 (03) : 447 - 453
  • [5] CHEN BY, 1991, B SOC MATH BELG, V43
  • [6] CHEN BY, 1991, KODAI MATH J, V14
  • [7] Dillen F., 1990, KODAI MATH J, V13, P10, DOI DOI 10.2996/kmj/1138039155
  • [8] Garay O.J., 1988, KODAI MATH J, V11, P25, DOI [10.2996/kmj/1138038815, DOI 10.2996/KMJ/1138038815]
  • [9] GARAY OJ, 1990, GEOMETRIAE DEDICATA, V34, P105
  • [10] HASANIS T, IN PRESS COORDINATE