On the osculatory behaviour of higher dimensional projective varieties.

Edoardo Ballico; Claudio Fontanari

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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...

The extremal ranks of $A_{1} - B_{1} X C_{1}$ subject to a pair of matrix equations

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On the existence of weak solutions for a semilinear singular hiperbolic system.

Joao-Paulo Dias, Mário Figueira (1991)

Revista Matemática de la Universidad Complutense de Madrid

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In this paper we prove the existence of a weak solution for a given semilinear singular real hyperbolic system.