The Geometry of Myller Configurations. Applications to Theory of Surfaces and Nonholonomic Manifolds

Radu Miron

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The Geometry of Myller Configurations. Applications to Theory of Surfaces and Nonholonomic Manifolds

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arxiv 1002.0665 v1 pith:GQ3LY6CE submitted 2010-02-03 math.DG math.MG

Radu Miron This is my paper · ORCID

classification math.DGmath.MG

keywords myllerapplicationsbookconfigurationsfundamentalmanifoldsnonholonomicparallelism

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The book contents: the notion of Myller configurations, Darboux frame, fundamental formulae and fundamental theorem of existence. The complete system of invariants allows to introduce the notions of Myller parallelism and concurrence as well as a famous Klein's formula. By way it is obtained an important generalization of the Levi-Civita parallelism. The applications to the theory of surfaces and nonholonomic manifolds end the book.

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