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On infinitesimal affine and isometric transformations preserving respective vector fields

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Publication:1251003
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DOI10.2996/kmj/1138035537zbMath0389.53019OpenAlexW2092699697MaRDI QIDQ1251003

Toshihiro Iwai

Publication date: 1978

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138035537



Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)


Related Items

Groups of transformations of Riemannian manifolds



Cites Work

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  • Homogeneous Riemannian spaces of four dimensions
  • On \(n\)-dimensional homogeneous spaces of Lie groups of dimension greater than \({1\over 2}n(n-1)\)
  • On kinematical invariances of the equations of motion
  • Transformation groups of spheres
  • A Class of Affinely Connected Spaces
  • Dynamical symmetries and constants of the motion for classical particle systems
  • Related First Integral Theorem: A Method for Obtaining Conservation Laws of Dynamical Systems with Geodesic Trajectories in Riemannian Spaces Admitting Symmetries
  • Related integral theorem. II. A method for obtaining quadratic constants of the motion for conservative dynamical systems admitting symmetries
  • On n-Dimensional Riemannian Spaces Admitting a Group of Motions of Order n(n-1)/2 + 1
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