Vector Fields on Product Manifolds

Preprint English OPEN
Kurz, Stefan;
  • Subject: Mathematics - Differential Geometry

This short report establishes some basic properties of smooth vector fields on product manifolds. The main results are: (i) On a product manifold there always exists a direct sum decomposition into horizontal and vertical vector fields. (ii) Horizontal and vertical vect... View more
  • References (2)

    [1] Jet Nestruev. Smooth Manifolds and Observables. Springer, New York, 2003.

    [2] Alexandre Vinogradov and Alessandro De Paris. Fat Manifolds and Linear Connections. World Scientific, 2009.

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