MECHANICAL SYSTEMS ON GENERALIZED-QUATERNIONIC KÄHLER MANIFOLDS

DOI10.1142/S0219887811005804zbMath1287.53037MaRDI QIDQ2893157

Yusuf Yayli, Mehmet Tekkoyun

Publication date: 26 June 2012

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

quaternion algebraLagrangian and Hamiltonian mechanical systemsgeneralized-quaternionic Kähler geometry

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Lagrange's equations (70H03)

Related Items (3)

Weyl-Euler-Lagrange equations of motion on flat manifold ⋮ MECHANICAL SYSTEMS ON AN ALMOST KÄHLER MODEL OF A FINSLER MANIFOLD ⋮ WEYL-MECHANICAL SYSTEMS ON TANGENT MANIFOLDS OF CONSTANT W-SECTIONAL CURVATURE

Cites Work

• Split quaternions and semi-Euclidean projective spaces
• On para-Euler-Lagrange and para-Hamiltonian equations
• Second-order differential equations and non-conservative Lagrangian mechanics
• SPLIT QUATERNIONS AND ROTATIONS IN SEMI EUCLIDEAN SPACE E⁴₂

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