A Review of Covariant Derivative Operators in Real Vector Bundles

1996 ◽  
pp. 23-37
Author(s):  
Demir N. Kupeli
Keyword(s):  
Covariant Derivative ◽  
Vector Bundles ◽  
Real Vector

Sums of stably trivial vector bundles

1980 ◽  
Vol 87 (1) ◽  
pp. 97-107 ◽  
Author(s):  
Jacques Allard
Keyword(s):  
Vector Bundle ◽  
Line Bundle ◽  
Vector Bundles ◽  
Real Vector

We say that a real vector bundle ξ over a finite C.W. complex X is stably trivial of type (n, k) or, simply, of type (n, k) if ξ ⊕ kε ≅ nε, where ε denotes a trivial line bundle. The following theorem is an immediate corollary (see (12)) of a theorem of T. Y. Lam ((9), theorem 2).

scholarly journals Note on the characteristic rank of vector bundles

2014 ◽  
Vol 64 (6) ◽  
Author(s):  
Aniruddha Naolekar ◽  
Ajay Thakur
Keyword(s):  
Vector Bundle ◽  
Vector Bundles ◽  
Projective Spaces ◽  
Real Vector ◽  
Cw Complex ◽  
Moore Spaces

AbstractWe define the notion of characteristic rank, charrankX(ξ), of a real vector bundle ξ over a connected finite CW-complex X. This is a bundle-dependent version of the notion of characteristic rank introduced by Július Korbaš in 2010. We obtain bounds for the cup length of manifolds in terms of the characteristic rank of vector bundles generalizing a theorem of Korbaš and compute the characteristic rank of vector bundles over the Dold manifolds, the Moore spaces and the stunted projective spaces amongst others.

Two-plane sub-bundles of nonorientable real vector-bundles

1987 ◽  
Vol 57 (3) ◽  
pp. 263-280 ◽  
Author(s):  
Maria Hermínia de Paula Leite Mello
Keyword(s):  
Vector Bundles ◽  
Real Vector
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