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supplements on sub-riemannian geometry Description

Key Elements

Code

GEOM 509

Formation

M2 Differential Geometry

Semester

1

Credits

4

Number of Teaching Hours

28

Number of Tutoring Sessions

0

Number of Laboratory Sessions

0

Content

Objective

Content

The Grifone’s connection that has been defined by Joseph Grifone in 1968 on a differentiable manifold shown its ability to be set in the case under Riemann. In this course the Grifone’s connection is defined on a manifold M and its extension in a tangent bundle TM. This extension is applicable in Lagrangian holonomic mechanical characterizing the solutions of a system of Euler Lagrange by a geodetic of Grifone’s connection defined on a tangent in fiber. The non-linear Grifone’s connection is defined in this way on a given bundle. We study the manifold of Heisenberg. These varieties have the most studied structures such as Riemann in previous years.