On infinitesimal concircular transformations

DOI10.2996/KMJ/1138844260zbMath0101.14203OpenAlexW2000468000WikidataQ125665632 ScholiaQ125665632MaRDI QIDQ3283411

Shigeru Ishihara

Publication date: 1960

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

Full work available at URL: https://doi.org/10.2996/kmj/1138844260

zbMATH Keywords

Riemannian manifolds

Related Items (20)

The flattened infinitesimal transformations generated by the infinitesimal concircular transformations ⋮ Spheres and Euclidean spaces via concircular vector fields ⋮ Complete Riemannian Manifolds and Some Vector Fields ⋮ Concircular vector fields for Kantowski–Sachs and Bianchi type-III spacetimes ⋮ Conformal vector fields on pseudo-Riemannian spaces ⋮ Concircularity on GRW-space-times and conformally flat spaces ⋮ Rigidity and concircular symmetries ⋮ Concircular vector fields and the Ricci solitons for the LRS Bianchi type-V spacetimes ⋮ Unnamed Item ⋮ The integral formulas and their applications in some affinely connected manifolds ⋮ Concircular vector fields on Lorentzian manifold of Bianchi type-I spacetimes ⋮ On conformal changes of Riemannian metrics ⋮ On concircular transformations in Finsler geometry ⋮ Conformal Ricci collineations of space-times ⋮ Riemannian manifolds admitting an infinitesimal conformal transformation ⋮ Structural equations for a special class of conformal Killing tensors of arbitrary valence ⋮ On Kaehlerian torse-forming vector fields ⋮ Ricci soliton vector fields of spherically symmetric static spacetimes ⋮ A note on some remarkable differential equations on a Riemannian manifold ⋮ Some results about concircular vector fields on Riemannian manifolds

Cites Work

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• On infinitesimal holomorphically projective transformations in Kählerian manifolds
• On the generalized circles in the conformally connected manifold
• Concircular geometry I. Concircular transformations
• Concircular geometry II. Integrability conditions of $\rho _{\mu \nu } = \phi g_{\mu \nu } $
• Concircular geometry III. Theory of curves
• Concircular geometry IV. Theory of subspaces
• Concircular geometry V. Einstein spaces
• Lie derivatives in general space of paths

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