14 citations · 48 across the 19 of their papers we have counts for
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math-ph2001
The covariant Lyapunov tensor and the Lyapunov stability with respect to time-dependent Riemannian metrics
G. Sardanashvily
We show that any solution of a smooth first order dynamic equation can be made Lyapunov stable at will by the choice of an appropriate time-dependent Riemannian metric.
math.DG2001
Geometric quantization of symplectic foliations
G. Sardanashvily
Geometric quantization of a Poisson manifold need not imply quantization of its symplectic leaves. We provide the leafwise geometric quantization of a Poisson manifold, seen as a f…
math-ph2001
Remark on the Serre-Swan theorem for non-compact manifolds
G. Sardanashvily
The Serre-Swan theorem provides the link between projective modules of finite rank and vector bundles over compact manifolds, and plays a prominent role in non-commutative geometry…