Displaying similar documents to “G1-structures of second order.”

G-structures of second order defined by linear operators satisfying algebraic relations.

Demetra Demetropoulou-Psomopoulou (1997)

Publicacions Matemàtiques

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The present work is based on a type of structures on a differential manifold V, called G-structures of the second kind, defined by endomorphism J on the second order tangent bundle T(V ). Our objective is to give conditions for a differential manifold to admit a real almost product and a generalised almost tangent structure of second order. The concepts of the second order frame bundle H(V ), its structural group L and its associated tangent bundle of second order T(V ) of a differentiable...

Canonical subgroups of H 1 ⋊ S ⁢ L ⁢ 2 , R

Filippo De Mari, Krzysztof Nowak (2002)

Bollettino dell'Unione Matematica Italiana

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We classify, up to conjugation, all subgroups of the semidirect products H 1 ⋊ S ⁢ L ⁢ 2 , R and R 2 ⋊ S ⁢ L ⁢ 2 , R . Our methods can also be applied to all Lie groups that are locally isomorphic to them.

Similarity transformation of matrices to one common canonical form and its applications to 2D linear systems

Tadeusz Kaczorek (2010)

International Journal of Applied Mathematics and Computer Science

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The notion of a common canonical form for a sequence of square matrices is introduced. Necessary and sufficient conditions for the existence of a similarity transformation reducing the sequence of matrices to the common canonical form are established. It is shown that (i) using a suitable state vector linear transformation it is possible to decompose a linear 2D system into two linear 2D subsystems such that the dynamics of the second subsystem are independent of those of the first one,...

On the intersection forms of closed 4-manifolds.

Alberto Cavicchioli, Friedrich Hegenbarth (1992)

Publicacions Matemàtiques

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Given a closed 4-manifold M, let M* be the simply-connected 4-manifold obtained from M by killing the fundamental group. We study the relation between the intersection forms λ and λ. Finally some topological consequences and examples are described.