On the topology and the geometry of SO(3)-manifolds

DOI10.1007/s10455-010-9245-xzbMath1218.53047arXiv1010.0260OpenAlexW1993171570WikidataQ115156377 ScholiaQ115156377MaRDI QIDQ540464

Julia Becker-Bender, Thomas Friedrich, Ilka Agricola

Publication date: 3 June 2011

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.0260

zbMATH Keywords

geometric structurescharacteristic classesEinstein metricsSO(3)contact structuresskew-symmetric torsion

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global theory of symplectic and contact manifolds (53D35) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

Related Items (7)

Sp(3) structures on 14-dimensional manifolds ⋮ SO(3)-structures on 8-manifolds ⋮ A note on the topology of irreducible \(\mathbf{SO}(3)\)-manifolds ⋮ A five-dimensional Riemannian manifold with an irreducible \(\mathrm{SO}(3)\)-structure as a model of abstract statistical manifold ⋮ Co-calibrated \(G_2\) structure from cuspidal cubics ⋮ Obstruction theory on 7-manifolds ⋮ Normality of the twistor space of a 5-manifold with an irreducible \(\mathrm{SO}(3)\)-structure

Cites Work

• Almost Hermitian 6-manifolds revisited
• Geometric structures of vectorial type
• Imbeddings of Stiefel manifolds into Grassmannians
• Parallel spinors and connections with skew-symmetric torsion in string theory.
• Connections on naturally reductive spaces, their Dirac operator and homogeneous models in string theory
• Classification of oriented sphere bundles over a 4-complex
• Vector fields on low dimensional manifolds
• Semi-characteristics and cobordism
• THE GROUPS 7π(V_nm)(I)
• Irreducible SO(3) geometry in dimension five
• Der erste Eigenwert des Dirac‐Operators einer kompakten, Riemannschen Mannigfaltigkeit nichtnegativer Skalarkrümmung
• Characteristic Classes. (AM-76)
• Monopole equation and the \(\frac{11}{8}\)-conjecture
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