Note on infinitesimal transformations over contact manifolds

DOI10.2748/tmj/1178244078zbMath0112.13903OpenAlexW2076929418MaRDI QIDQ1131476

Shukichi Tanno

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/1178244078

zbMATH Keywords

Riemannian manifolds

Related Items (31)

Invariant vector fields on contact metric manifolds under \(\mathcal{D}\)-homothetic deformation ⋮ Some transformations on manifolds with almost contact and contact metric structures ⋮ Automorphisms of symplectic and contact structures ⋮ On fiberings of some non-compact contact manifolds ⋮ Fibred Riemannian space with triple of Killing vectors ⋮ Sasakian metric as a Ricci soliton and related results ⋮ Ricci solitons on 3-dimensional cosymplectic manifolds ⋮ Conformal vector fields on almost Kenmotsu manifolds ⋮ A note on almost co-Kähler manifolds ⋮ Geometry of paracontact metric as an almost Yamabe solitons ⋮ Conformal vector field and gradient Einstein solitons on η-Einstein cosymplectic manifolds ⋮ K-cosymplectic metric as an η-Ricci soliton ⋮ \(D\)-homothetically deformed \(K\)-contact Ricci almost solitons ⋮ K-Contact and Sasakian metrics as Ricci almost solitons ⋮ Sasakian metrics as generalized \(\eta\)-Ricci soliton ⋮ Unnamed Item ⋮ Yamabe solitons on 3-dimensional cosymplectic manifolds ⋮ Almost Kenmotsu \((k,\mu)'\)-manifolds with Yamabe solitons ⋮ SASAKIAN 3-MANIFOLD AS A RICCI SOLITON REPRESENTS THE HEISENBERG GROUP ⋮ Unnamed Item ⋮ A 3-DIMENSIONAL SASAKIAN METRIC AS A YAMABE SOLITON ⋮ Conformal Ricci soliton and quasi-Yamabe soliton on generalized Sasakian space form ⋮ Sasakian 3-manifolds admitting a gradient Ricci-Yamabe soliton ⋮ Gradient Yamabe and gradient \(m\)-quasi Einstein metrics on three-dimensional cosymplectic manifolds ⋮ Some results on almost Kenmotsu manifolds ⋮ On contravariant \(C\)-analytic 1-forms in a compact Sasakian space ⋮ Some properties of manifolds with contact metric structure ⋮ Conformal vector fields on almost co-Kähler manifolds ⋮ Yamabe solitons on 3-dimensional contact metric manifolds with Qφ = φQ ⋮ Addendum to: curvature of contact manifolds ⋮ Certain infinitesimal transformations on contact metric manifolds

Cites Work

• On the existence of Riemann metrics associated with a 2-form of rank \(2r\)
• On differentiable manifolds with contact metric structures
• On differentiable manifolds with certain structures which are closely related to almost contact structure. I
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