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Publication:2794695
zbMath1335.53002MaRDI QIDQ2794695
Publication date: 11 March 2016
Full work available at URL: http://d-nb.info/99762549X/34
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homogeneous spacesholonomyspecial holonomyAloff-Wallach spaceBerger spaceholonomy reductionall connected Lie subgroups
Spin and Spin({}^c) geometry (53C27) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)
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Geometric transitions with Spin(7) holonomy via a dynamical system ⋮ Noncompact Riemannian spaces with the holonomy group spin\((7)\) and 3-Sasakian manifolds ⋮ Spin(7) metrics of cohomogeneity one with Aloff-Wallach spaces as principal orbits
Cites Work
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- New cohomogeneity one metrics with spin(7) holonomy
- Riemannian manifolds with structure group \(G_ 2\)
- Hyperkähler metrics of cohomogeneity one
- 7-dimensional compact Riemannian manifolds with Killing spinors
- On a compact Lie group acting on a manifold
- Some nondiffeomorphic homeomorphic homogeneous 7-manifolds with positive sectional curvature
- Metrics with exceptional holonomy
- Some examples of homogeneous Einstein manifolds in dimension seven
- Structure of homogeneous Riemann spaces with zero Ricci curvature
- Parallel spinors and parallel forms
- Ricci-flat metrics on the complexification of a compact rank one symmetric space
- On nearly parallel \(G_2\)-structures
- M-theory dynamics on a manifold of \(G_2\) holonomy
- Cohomogeneity one manifolds with positive Ricci curvature
- M-theory on \(\text{AdS}_4\times M^{111}\): The complete \(\text{Osp}(2|4) \times \text{SU}(3) \times \text{SU}(2)\) spectrum from harmonic analysis
- The initial value problem for cohomogeneity one Einstein metrics
- On the construction of some complete metrics with exceptional holonomy
- Orientifolds and slumps in \(G_{2}\) and \(\text{Spin}(7)\) metrics
- Einstein metrics on principal fibre bundles
- On spin(7) holonomy metric based on \(\text{SU}(3)/\text{U}(1)\). I
- On spin(7) holonomy metric based on \(\text{SU}(3)/\text{U}(1). \) II
- Cohomogeneity-one \(G_{2}\)-structures
- Cohomogeneity one manifolds of spin(7) and \(G_{2}\) holonomy
- Ricci-flat metrics, harmonic forms and brane resolutions
- Isometric actions on the projective planes and embedded generators of homotopy groups
- Topology of positively pinched Kaehler manifolds
- Transformation groups of spheres
- Semisimple subalgebras of semisimple Lie algebras
- Deformations of G2 and Spin(7) Structures
- On the new examples of complete noncompact Spin(7)-holonomy metrics
- Nowhere-vanishing spinors and triality rotations in 8-manifolds
- Métriques kählériennes et fibrés holomorphes
- Some regularity theorems in riemannian geometry
- An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures
- The octonions
- Inhomogeneous Einstein metrics on complex line bundles
- Painlevé analysis of the Ricci-flat ordinary differential equations associated with Aloff–Wallach spaces and U(1)-bundles over Fano products
- Introduction to Lie Algebras and Representation Theory
- Vector fields and Ricci curvature
- Compact homogeneous Einstein 7-manifolds
- Supersymmetric non-singular fractional D2-branes and NS-NS 2-branes
- Hyper-Kähler Calabi metrics, \(L^2\) harmonic forms, resolved M2-branes, and AdS\(_4\)/CFT\(_3\) correspondence
- New complete noncompact Spin(7) manifolds
- M-theory on Spin(7) manifolds