On the \(k\)-th nullity space of the Riemannian curvature tensor

DOI10.2748/TMJ/1178241031zbMath0299.53032OpenAlexW2090149578WikidataQ115227188 ScholiaQ115227188MaRDI QIDQ1215173

Masami Sekizawa, Shun-ichi Tachibana

Publication date: 1975

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178241031

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Local Riemannian geometry (53B20)

Cites Work

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• Riemannian manifolds of constant nullity
• Some relations between curvature and characteristic classes
• On the completeness of nullity foliations
• The K-nullity spaces of the curvature operator
• A characterization of totally geodesic submanifolds in S\(^N\) and CP\(^N\) by an inequality
• Isometric imbedding of Riemann manifolds in a Riemann manifold
• Spaces of Constancy of Curvature Operators
• Manifolds of Negative Curvature
• A Class of Riemannian Manifolds Satisfying R(X ,Y)·R = 0
• Sur la structure des espaces de Riemann dont le groupe d'holonomie fixe un plan à un nombre quelconque de dimensions
• Some theorems on the isometric imbedding of compact Riemann manifolds in Euclidean space

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