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math.DG2026
Quadratic Killing tensors on some symmetric spaces of higher rank
An Ky Nguyen, Yuri Nikolayevsky
All Killing tensor fields on the spaces of constant curvature and on the complex projective space are decomposable, that is, can be represented as the sum of symmetric tensor produ…
math.DG2026
Quadratic Killing tensors on classical Lie groups are decomposable
Vladimir Matveev, An Ky Nguyen, Yuri Nikolayevsky
A Killing tensor field on a Riemannian manifold is a covariant symmetric tensor field whose contraction with the velocity vector along a geodesic produces a homogeneous pol…
math.DG2022
Stability of geodesic vectors in low-dimensional Lie algebras
An Ky Nguyen, Yuri Nikolayevsky
A naturally parameterised curve in a Lie group with a left invariant metric is a geodesic, if its tangent vector left-translated to the identity satisfies the Euler equation $\dot{…