Note on immersion dimension of real Grassmannians

被引:0
作者
Petrovic, Zoran Z. [1 ]
Prvulovic, Branislav I. [1 ]
机构
[1] Univ Belgrade, Fac Math, Belgrade, Serbia
关键词
Grassmannian; Immersion; Modified Postnikov tower;
D O I
10.1016/j.topol.2014.07.001
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Immersion dimension of a smooth manifold is the least integer d such that there is an immersion of that manifold into d-dimensional Euclidean space. By using the obstruction theory, we determine the exact value of the immersion dimension for Grassmann manifolds G(3,n) when n is a power of two. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:38 / 42
页数:5
相关论文
共 13 条
[11]   ON GROEBNER BASES AND IMMERSIONS OF GRASSMANN MANIFOLDS G2,n [J].
Petrovic, Zoran Z. ;
Prvulovic, Branislav I. .
HOMOLOGY HOMOTOPY AND APPLICATIONS, 2011, 13 (02) :113-128
[12]   CUP PRODUCTS IN GRASSMANNIANS [J].
STONG, RE .
TOPOLOGY AND ITS APPLICATIONS, 1982, 13 (01) :103-113
[13]   The singularities of a smooth n-manifold in (2n-1)-space [J].
Whitney, H .
ANNALS OF MATHEMATICS, 1944, 45 :247-293