2 papers
math.DG2025
Symmetric Spaces with Rectangular Unit Lattices, Revisited
Jost-Hinrich Eschenburg, Ernst Heintze, Peter Quast
We give a new proof of a theorem of Loos stating that a Riemannian symmetric space X with rectangular unit lattice is a symmetric R-space. For this we construct explicitly an isome…
math.DG2025
Extrinsically Symmetric Spaces, Submanifolds of Clifford Type and a Theorem of Harish-Chandra
Jost-Hinrich Eschenburg, Ernst Heintze, Peter Quast
We prove that a compact, intrinsically symmetric submanifold of a Euclidean space is extrinsically symmetric if and only if its maximal tori are Clifford tori in the ambient space.…