A complete local classification of gl-regular Haantjes operators is derived, together with a splitting theorem for the general case and a treatment of complex eigenvalues.
When a (1, 1)-tensor generates separation of variables of a certain metric
3 Pith papers cite this work. Polarity classification is still indexing.
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n functionally independent commutative quadratic integrals for a geodesic flow that are simultaneously diagonalisable imply the metric comes from the Stäckel construction and admits orthogonal separation of variables.
Tensorial conditions for Jordan-Chevalley decomposition of operator fields in dimensions 3 and 4, plus proof of Tempesta-Tondo conjecture for Frölicher-Nijenhuis brackets.
citing papers explorer
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Local description of gl-regular Haantjes operators
A complete local classification of gl-regular Haantjes operators is derived, together with a splitting theorem for the general case and a treatment of complex eigenvalues.
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Integrable geodesic flows with simultaneously diagonalisable quadratic integrals
n functionally independent commutative quadratic integrals for a geodesic flow that are simultaneously diagonalisable imply the metric comes from the Stäckel construction and admits orthogonal separation of variables.
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On the Jordan-Chevalley decomposition problem for operator fields in small dimensions and Tempesta-Tondo conjecture
Tensorial conditions for Jordan-Chevalley decomposition of operator fields in dimensions 3 and 4, plus proof of Tempesta-Tondo conjecture for Frölicher-Nijenhuis brackets.