Infinitesimal Blaschke conjectures on projective spaces

DOI10.24033/asens.1409zbMath0481.53041OpenAlexW2601500615WikidataQ123019012 ScholiaQ123019012MaRDI QIDQ3937985

Chiaki Tsukamoto

Publication date: 1981

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1981_4_14_3_339_0

zbMATH Keywords

projective spacesymmetric spacerepresentation theorymetrics all of whose geodesics are closed

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Differential geometry of symmetric spaces (53C35)

Related Items (5)

Erratum: The Radon transform for forms of type (1,1) on complex projective space ⋮ Déformations infinitésimales des espaces riemanniens localement symétriques. II: La conjecture infinitésimale de Blaschke pour les espaces projectifs complexes. (Infinitesimal déformations of locally symmetric Riemannian spaces. II: The infinitesimal conjecture of Blaschke for complex projective spaces) ⋮ Contact geometry and isosystolic inequalities ⋮ The complex Monge-Ampère equation, Zoll metrics and algebraization ⋮ Infinitesimal rigidity of \(S^ 1\times RP^ n\)

Cites Work

• On the infinitesimal Blaschke conjecture
• The Radon transform on Zoll surfaces
• Some decompositions of the space of symmetric tensors on a Riemannian manifolds
• Elliptic spaces in Grassmann manifolds
• Introduction to Lie Algebras and Representation Theory
• Problèmes d'analyse géométrique liés à la conjecture de Blaschke
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