The natural affinors on ![otimes<sup>k</sup> T<sup>(r)</sup>](http://212.189.136.205/plugins/generic/latexRender/cache/0c81a9b889813b8338c0fa5423f7e329.png)
Abstract
For integers
, r and
we prove that any natural affinor A on the k-tensor power
of the linear r-tangent bundle functor T(r) over n-manifolds is proportional to the identity affinor.
![k ≥ 2](http://212.189.136.205/plugins/generic/latexRender/cache/972c084875f3bbf9d3b2237b5a3b1ebe.png)
![n ≥ k](http://212.189.136.205/plugins/generic/latexRender/cache/c20374a2aed7fe39cb98ed5182f720b9.png)
![⨂<sup>k</sup>T<sup>(r)</sup>](http://212.189.136.205/plugins/generic/latexRender/cache/44ac8ec695917eaedf5753f828183e26.png)
DOI Code:
10.1285/i15900932v19n2p269
Keywords:
Bundle hunters; Natural transformations; Natural affinors
Classification:
58A20; 53A55
Full Text: PDF