A nonembedding result for complex Grassmann manifolds-Reference-Cited by-同舟云学术

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A nonembedding result for complex Grassmann manifolds

Published:1970-12 Issue:2 Volume:17 Page:149-153
ISSN:0013-0915
Container-title:Proceedings of the Edinburgh Mathematical Society
language:en
Short-container-title:Proceedings of the Edinburgh Mathematical Society

Author:

Hoggar S. G.

Abstract

A smooth map of a differentiable n-manifold into Euclidean (n+k)-space is called an immersion if its Jacobian has rank n at each point of M. If f is also 1-1, it is called an embedding.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference9 articles.

1. The Self-Intersections of a Smooth n-Manifold in 2n-Space

2. Immersions and Embeddings of Projective Spaces

3. Fibre Bundles

4. The singularities of a smooth w-manifold in (2n - 1)-space;Whitney;Ann. of Math.,1944

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Lower bounds for the immersion dimension of homogeneous spaces;Topology and its Applications;2001-05

2. Nonimmersion theorems for Grassmann manifolds;Topology and its Applications;1999-09

3. Nonimmersions of complex Grassmann manifolds;Proceedings of the Edinburgh Mathematical Society;1981-02

4. Some non-embedding theorems for the Grassmann manifolds G2,n and G3,n;Proceedings of the Edinburgh Mathematical Society;1977-03

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