On the almost-complex structure of tangent bundles of Riemannian spaces

DOI10.2748/tmj/1178244170zbMath0114.38003OpenAlexW2028804024WikidataQ115227095 ScholiaQ115227095MaRDI QIDQ2625448

Shun-ichi Tachibana, Masafumi Okumura

Publication date: 1962

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

Full work available at URL: https://doi.org/10.2748/tmj/1178244170

zbMATH Keywords

Riemannian manifolds

Related Items (35)

Differential geometry of tangent bundles of order 2 ⋮ Bochner flatness of tangent bundles with \(g\)-natural almost Hermitian metrics ⋮ Complete lifts from a manifold to its cotangent bundle ⋮ Unnamed Item ⋮ Hypocoercivity of Langevin-type dynamics on abstract smooth manifolds ⋮ Integrability of Almost Kaehler Manifolds ⋮ Sasakian structures on tangent sphere bundles of compact rank-one symmetric spaces ⋮ A survey of Riemannian contact geometry ⋮ Unnamed Item ⋮ Invariant contact metric structures on tangent sphere bundles of compact symmetric spaces ⋮ Loop coproduct in Morse and Floer homology ⋮ Almost quaternion structures of the second kind and almost tangent structures ⋮ Connections and f-structures on \(T^ 2M\) ⋮ Indefinite Kähler manifolds ⋮ Unnamed Item ⋮ A classification of almost contact metric manifolds ⋮ Unnamed Item ⋮ Statistical mirror symmetry ⋮ Minimal submanifolds of almost semi-Kähler manifolds ⋮ Born-Infeld kinematics ⋮ Differential geometry on almost tangent manifolds ⋮ Unnamed Item ⋮ Two remarks on contact metric structures ⋮ On the tangent bundle of a hypersurface in a Riemannian manifold ⋮ On the differential geometry of frame bundles ⋮ On contact structures of tangent sphere bundles ⋮ On the non-regularity of tangent sphere bundles ⋮ On tangent bundles with Sasakian metrics of Finslerian and Riemannian manifolds ⋮ Unnamed Item ⋮ Notes on the Sasaki metric ⋮ Normal structure $f$ satisfying $f^{3}+f=0$ ⋮ Differential geometry in tangent bundle ⋮ Tangent bundle of a manifold with a non-linear connection ⋮ Born-Infeld kinematics and correction to the Thomas precession ⋮ When is the tangent sphere bundle conformally flat?

Cites Work

• Unnamed Item
• On the differential geometry of tangent bundles of Riemannian manifolds
• Analytic tensor and its generalization
• On some structures which are similar to the quaternion structure

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