Vector Bundles on Manifolds

Amiya Mukherjee
Additional contact information
Amiya Mukherjee: Indian Statistical Institute, Statistics and Mathematics Unit

Chapter Chapter 5 in Differential Topology, 2015, pp 133-167 from Springer

Abstract: Abstract The theory of vector bundles provides a very elegant and concise language to describe many phenomena in manifolds. In its simplest situation, a vector bundle over a manifold M is a manifold E which is the disjoint union of a family of vector spaces $$\left\{E_x\right\}$$ , indexed by $$x\;\in\;M$$ .

Keywords: Vector Bundle; Short Exact Sequence; Orientation Preserve; Trivial Bundle; Linear Isomorphism (search for similar items in EconPapers)
Date: 2015
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-19045-7_5

Ordering information: This item can be ordered from
http://www.springer.com/9783319190457

DOI: 10.1007/978-3-319-19045-7_5

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().