THE GAUSS MAP FOR KAHLERIAN SUBMANIFOLDS OF R(N)

被引：6

作者：

RIGOLI, M ^{[1
]}

TRIBUZY, R ^{[1
]}

机构：

[1] INT CTR THEORET PHYS,I-34100 TRIESTE,ITALY

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 332卷 / 02期

关键词：

D O I：

10.2307/2154180

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a Gauss map for Kahler submanifolds of Euclidean space and study its geometry in relation to that of the given immersion. In particular we generalize a number of results of the classical theory of minimal surfaces in Euclidean space.

引用

页码：515 / 528

页数：14

共 16 条

[1]

Chern S. S., 1965, S HON M MORS, P187

[2] ON THE TOTAL CURVATURE OF IMMERSED MANIFOLDS [J].

CHERN, SS ;

LASHOF, RK .

AMERICAN JOURNAL OF MATHEMATICS, 1957, 79 (02) :306-318

[3]

DACJZER M, 1985, J DIFFER GEOM, V82, P13

[4]

DACJZER M, 1987, MATH ANN, V277, P353

[5]

DACJZER M, 1986, DUKE MATH J, V53, P211

[6] SYMMETRIC SUB-MANIFOLDS OF EUCLIDEAN-SPACE [J].

FERUS, D .

MATHEMATISCHE ANNALEN, 1980, 247 (01) :81-93

[7]

FERUS D, 1983, GEOM DEDICATA, V14, P237

[8]

JENSEN GR, 1988, T AM MATH SOC, V307, P363

[9] COMPLEX ANALYTIC COORDINATES IN ALMOST COMPLEX MANIFOLDS [J].

NEWLANDER, A ;

NIRENBERG, L .

ANNALS OF MATHEMATICS, 1957, 65 (03) :391-404

[10]

Obata M., 1968, J DIFFER GEOM, V2, P217, DOI DOI 10.4310/JDG/1214428258

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