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On operators and Jacobi identity in affinely connected manifolds 66 75
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affine connection anti-quaternion arbitrary brackets refer canonical champ compact complex structure components conformal Killing consider constant curvature coordinate system Corollary cosymplectic manifold covariant curvature tensor defined denote differential Dirac eigenvalues élément de l'algèbre equations exists fields of type Finsler space formula frame function geometric quantization geometry given Hence hypersurface identity infinitesimal stable integrable invariant submanifold Kaehlerian manifold Kawaguchi Killing tensor Lemma Lie algebra Lie derivative Lie group linear mapping Math matrix metric connection metric g n-dimensional non-linear connection Numbers in brackets obtain operator optimal control orbit orthogonal paper Proof Proposition prove quantization relation resp respect Ricci Riemannian manifold Riemannian metric s-regular satisfying the condition scalar ſº SO(p spinor submanifold symmetric space T(G)-structure tangent bundle tensor field theory totally geodesic trace transformation type 0,p visual space Yano zero