On $\eta$-Einstein Sasakian geometry

DOI10.1007/s00220-005-1459-6zbMath1103.53022arXivmath/0406627OpenAlexW2029948823MaRDI QIDQ852373

Krzysztof Galicki, Paola Matzeu, Charles P. Boyer

Publication date: 29 November 2006

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406627

zbMATH Keywords

orbifold characteristic foliation exotic spheres Calabi problem Lorenzian Sasakian-Einstein structures

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items

Some characterizations of -Einstein solitons on Sasakian manifolds, Kähler-Einstein metrics and volume minimization, Quasi-regular Sasakian and K-contact structures on Smale-Barden manifolds, Stability and convergence of the Sasaki-Ricci flow, Frankel conjecture and Sasaki geometry, The Wu–Yau theorem on Sasakian manifolds, Calabi-Yau cones from contact reduction, Some results on almost $\ast $-Ricci-Bourguignon solitons, Sasakian 3-metric as a generalized Ricci-Yamabe soliton, STRUCTURES AND D-HOMOTHETIC PRODUCT METRIC, Geometric pluripotential theory on Sasaki manifolds, $G$-Sasaki manifolds and K-energy, The Sasaki-Ricci flow on Sasakian 3-spheres, The Sasaki-Ricci flow and compact Sasaki manifolds of positive transverse holomorphic bisectional curvature, Second variation for L-minimal Legendrian submanifolds in pseudo-Sasakian manifolds, Sasakian manifolds with perfect fundamental groups, Holomorphic maps from Sasakian manifolds into Kähler manifolds, Gradient generalized $\eta$-Ricci soliton and contact geometry, Sasaki-Einstein and paraSasaki-Einstein metrics from $(\kappa, \mu)$-structures, Sasakian metric as a Ricci soliton and related results, The topological types of hypersurface simple $K3$ singularities, On the characteristic connection of gwistor space, Sasakian manifolds with purely transversal Bach tensor, Unnamed Item, Almost Kenmotsu 3-manifolds with pseudo-parallel characteristic Jacobi operator, Unnamed Item, Decomposable (5, 6)-solutions in eleven-dimensional supergravity, Anti-quasi-Sasakian manifolds, Characterizations of weakly conformally flat and quasi Einstein manifolds, Rigidity of gradient generalized $\eta$-Ricci solitons, Classification of almost contact metric structures on 3D Lie groups, Vaisman manifolds and transversally Kähler-Einstein metrics, K-cosymplectic metric as an η-Ricci soliton, Energy properness and Sasakian-Einstein metrics, Sasakian metrics as generalized $\eta$-Ricci soliton, Unnamed Item, Unnamed Item, $ \eta $-Einstein Sasakian immersions in non-compact Sasakian space forms, Spectral geometry of eta-Einstein Sasakian manifolds, Unnamed Item, Lorentzian Sasaki-Einstein metrics on connected sums of $S^{2} \times S^{3}$, Canonical Sasakian metrics, Sasaki-Einstein manifolds and volume minimisation, Unnamed Item, Constructions in Sasakian geometry, A New Class of Golden Riemannian Manifold, Kählerian Manifold on the Product of Two Trans-Sasakian Manifolds, Contact geometry in superconductors and new massive gravity, ∗-Ricci Soliton within the frame-work of Sasakian and (κ,μ)-contact manifold, Local models for conical Kähler-Einstein metrics, The Killing spinor equation with higher order potentials, Energy-momentum tensor on foliations, $G_2$-manifolds with parallel characteristic torsion, Non-symmetric Riemannian gravity and Sasaki–Einstein 5-manifolds, Null Sasaki $\eta$-Einstein structures in 5-manifolds, Sasakian 3-manifolds admitting a gradient Ricci-Yamabe soliton, Contact Calabi-Yau manifolds and special Legendrian submanifolds, A spectral estimate for the Dirac operator on Riemannian flows, Momentum construction on Ricci-flat Kähler cones, A note of Sasakian metrics with constant scalar curvature, Einstein and $\eta $-Einstein Sasakian submanifolds in spheres, THE SASAKI–RICCI FLOW, Stability of contact metric manifolds and unit vector fields of minimum energy, Unnamed Item, Sasakian immersions of Sasaki-Ricci solitons into Sasakian space forms, Ricci almost solitons and contact geometry, Massless geodesics in $\text{AdS}_5\times Y(p,q)$ as a superintegrable system, ON A CERTAIN TRANSFORMATION IN ALMOST CONTACT METRIC MANIFOLDS, A class of Sasakian 5-manifolds, Torsion of $SU(2)$-structures and Ricci curvature in dimension 5, Closed Einstein–Weyl structures on compact Sasakian and cosymplectic manifolds, Transverse Kähler holonomy in Sasaki geometry and $\mathcal{S}$-stability, η-EINSTEIN TANGENT SPHERE BUNDLES OF CONSTANT RADII, From a single Sasakian manifold to a family of Sasakian manifolds, $m$-quasi-Einstein metric and contact geometry, A lift of the Seiberg–Witten equations to Kaluza–Klein five-manifolds, Einstein-Weyl structure and contact geometry, Ricci almost solitons with associated projective vector field, Spin (7)-manifolds with parallel torsion form, Heterotic solitons on four-manifolds, Certain homogeneous paracontact three-dimensional Lorentzian metrics, Hidden symmetries and supergravity solutions, $\varepsilon$-contact structures and six-dimensional supergravity, Some remarks on Calabi-Yau and hyper-Kähler foliations, CRITICAL HERMITIAN STRUCTURES ON THE PRODUCT OF SASAKIAN MANIFOLDS, Lie groups as 3-dimensional almost contact B-metric manifolds, Certain infinitesimal transformations on contact metric manifolds, $\eta $-Einstein contact metric manifolds with purely transversal Bach tensor

Cites Work

On \(\eta\)-Einstein Sasakian geometry