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< dc:title lang =" ca-ES " > $G$-structures of second order defined by linear operators satisfying algebraic relations </ dc:title >
< dc:creator > Demetropoulou-Psomopoulou, D. </ dc:creator >
< dc:description lang =" ca-ES " > 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 $T^2(V)$. 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 $H^2(V)$, its structural group $L^2$ and its associated tangent bundle of second order $T^2(V)$ of a differentiable manifold $V$, are used from the point of view that is described in papers \cite{5} and \cite{6}. Also, the almost tangent structure of order two is mentioned and its generalisation, the second order almost transverse structure, is defined. </ dc:description >
< dc:publisher lang =" ca-ES " > Universitat Autònoma de Barcelona </ dc:publisher >
< dc:date > 1997 </ dc:date >
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< dc:relation > Publicacions Matemàtiques, 1997, Vol. 41, Núm. 2 (1997): Vol.: 41 Núm.: 2, p. 437-453 </ dc:relation >
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< organization > Vol. 41, Núm. 2 (1997): Vol.: 41 Núm.: 2; 437-453 </ organization >
< title > $G$-structures of second order defined by linear operators satisfying algebraic relations </ title >
< author > Demetropoulou-Psomopoulou, D. </ author >
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< abstract > 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 $T^2(V)$. 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 $H^2(V)$, its structural group $L^2$ and its associated tangent bundle of second order $T^2(V)$ of a differentiable manifold $V$, are used from the point of view that is described in papers \cite{5} and \cite{6}. Also, the almost tangent structure of order two is mentioned and its generalisation, the second order almost transverse structure, is defined. </ abstract >
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