Homogeneous spaces, Tits buildings, and isoparametric hypersurfaces

DOI10.1090/memo/0752zbMath1027.57002arXivmath/0109133OpenAlexW2037470620MaRDI QIDQ4542409

Linus K. H. Kramer

Publication date: 4 August 2002

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0109133

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Differential geometry of homogeneous manifolds (53C30) Grassmannians, Schubert varieties, flag manifolds (14M15) Generalized quadrangles and generalized polygons in finite geometry (51E12) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Buildings and the geometry of diagrams (51E24) Groups with a (BN)-pair; buildings (20E42) Homology and cohomology of homogeneous spaces of Lie groups (57T15) Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02) Topological geometries on manifolds (51H20) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to geometry (51-01) Line geometries and their generalizations (51M30)

Related Items (9)

Geometrically formal homogeneous metrics of positive curvature ⋮ Metric Properties of Euclidean Buildings ⋮ Variations of rational higher tangential structures ⋮ Positive curvature, symmetry, and topology ⋮ Equivariant formality of corank-one isotropy actions and products of rational spheres ⋮ Homogeneous compact geometries ⋮ Transitive conformal holonomy groups ⋮ Clifford systems, harmonic maps and metrics with nonnegative curvature ⋮ Compact totally disconnected Moufang buildings.

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