Quaternion Riemann spaces with transitive reductive or solvable groups of motions

DOI10.1007/BF01075974zbMath0238.53040MaRDI QIDQ2553097

Dimitrii V. Alekseevsky

Publication date: 1970

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Global Riemannian geometry, including pinching (53C20) Clifford algebras, spinors (15A66) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

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Classification of torus manifolds with codimension one extended actions ⋮ Latent quaternionic geometry ⋮ Hyperkähler metrics of cohomogeneity one ⋮ Cohomogeneity one Alexandrov spaces ⋮ The index of symmetry of compact naturally reductive spaces ⋮ The real Jacobi group revisited ⋮ Twisting non-shearing congruences of null geodesics, almost CR structures and Einstein metrics in even dimensions

Cites Work

• Clifford modules
• Infinite Hankel matrices and generalized Caratheodory-Fejer and Riesz problems