Riemannian manifolds admitting a projective vector field

DOI10.2996/kmj/1138036262zbMath0454.53029OpenAlexW2074711823WikidataQ115224656 ScholiaQ115224656MaRDI QIDQ1149653

Hitosi Hiramatu

Publication date: 1980

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

Full work available at URL: https://doi.org/10.2996/kmj/1138036262

zbMATH Keywords

projective vector fieldisometric to a sphereaffine vector fieldconstant scalar curvature K

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (7)

Metrics admitting projective and c-projective vector fields ⋮ Gallot-Tanno theorem for pseudo-Riemannian metrics and a proof that decomposable cones over closed complete pseudo-Riemannian manifolds do not exist ⋮ Gallot-Tanno theorem for closed incomplete pseudo-Riemannian manifolds and applications ⋮ Proof of the projective Lichnerowicz conjecture for pseudo-Riemannian metrics with degree of mobility greater than two ⋮ The Tanno Theorem for Kählerian metrics with arbitrary signature ⋮ C-projective geometry ⋮ (Super-)integrable systems associated to 2-dimensional projective connections with one projective symmetry

Cites Work

• Integral inequalities and their applications in Riemannian manifolds admitting a projective vector field
• On integral inequalities and their applications in Riemannian manifolds
• Some differential equations on Riemannian manifolds
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