Hodge theory on nearly Kähler manifolds
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Publication:658412
DOI10.2140/gt.2011.15.2111zbMath1246.58002arXivmath/0510618OpenAlexW2151182321MaRDI QIDQ658412
Publication date: 12 January 2012
Published in: Geometry \& Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0510618
Hodge decompositionholonomyalmost complex structureCalabi-Yau manifoldnearly KählerHodge structure\(G_{2}\)-manifold
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Cites Work
- K-spaces of maximal rank
- The Gauss-Bonnet theorem for \(V\)-manifolds
- Deformations of nearly Kähler structures
- An intrinsic volume functional on almost complex 6-manifolds and nearly Kähler geometry
- The structure of nearly Kähler manifolds
- The signature theorem for V-manifolds
- The Riemann-Roch theorem for complex V-manifolds
- M-theory dynamics on a manifold of \(G_2\) holonomy
- Einstein metrics via intrinsic or parallel torsion
- Hyper-Kähler manifolds with torsion, supersymmetry and Hodge theory.
- Parallel spinors and connections with skew-symmetric torsion in string theory.
- Nearly Kähler geometry and Riemannian foliations.
- Connections with torsion, parallel spinors and geometry of Spin(7) manifolds
- Branes at conical singularities and holography
- Real Killing spinors and holonomy
- Minimal varieties and almost Hermitian submanifolds
- Classification des variété Classification of homogeneous nearly Kähler manifolds approximativement Kähleriennes homogénes
- Nearly Kähler manifolds
- Weak holonomy groups
- ON A GENERALIZATION OF THE NOTION OF MANIFOLD
- The index of elliptic operators over V-manifolds
- UNIT KILLING VECTOR FIELDS ON NEARLY KÄHLER MANIFOLDS
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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- Unnamed Item