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On lie algebras of affine vector fields of ideal realizations of holomorphic linear connections
Russian Mathematics, 2008We study the properties of real realizations of holomorphic linear connections over associative commutative algebras $$ \mathbb{A} $$ m with unity. The following statements are proved.
M. V. Morgun, A. Ya. Sultanov
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The paper reports on a nice crossfertilization of the theory of linear, discrete-time control systems and differential-geometric statistics. A Hilbert manifold of linear, SISO, minimum phase systems is defined via the spectral density function, within which some finite-dimensional families of systems are considered.
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On the tangent bundle and on the bundle of the linear frames over an affinely connected manifold
1988Let M be a connected manifold with a symmetric and complete connection \(\nabla\). Here the authors study the manifolds T(M) and L(M) with respect to the complete lifts of \(\nabla\), giving also some relations between the complete and the vertical lifts of several geometric objects to L(M) and to T(M).
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Colesanti type inequalities for affine connections
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