First and second cohomology group of a bu ndle

Adelina Manea

doi:10.2478/v10309-012-0041-4

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First and second cohomology group of a bu ndle

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 20 (2012): Issue 2 (June 2012)

By: Adelina Manea

Open Access

|May 2013

Abstract

Let (E, π, M) be a vector bundle. We define two cohomology groups associated to π using the first and second order jet manifolds of this bundle. We prove that one of them is isomorphic with a Čech cohomology group of the base space. The particular case of trivial bundle is studied

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