1 citations · 1 across the 6 of their papers we have counts for
7 papers
Equivariant Embeddings of Kälerian Symmetric Spaces
J. -H. Eschenburg, K. K. Santos, R. Tribuzy
In this article we investigate some properties of equivariant embeddings of a symmetric Kählerian manifold. Motivated by a theorem of Cartan and Wallach on equivariant embeddings o…
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…
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.…
Bott-Thom isomorphism, Hopf bundles and Morse theory
Jost-Hinrich Eschenburg, Bernhard Hanke
Based on Morse theory for the energy functional on path spaces we develop a deformation theory for mapping spaces of spheres into orthogonal groups. This is used to show that these…
Bott Periodicity, Submanifolds, and Vector Bundles
Jost Eschenburg, Bernhard Hanke
We sketch a geometric proof of the classical theorem of Atiyah, Bott, and Shapiro \cite{ABS} which relates Clifford modules to vector bundles over spheres. Every module of the Clif…
Almost positive curvature on the Gromoll-Meyer sphere
Jost-Hinrich Eschenburg, Martin Kerin
Gromoll and Meyer have represented a certain exotic 7-sphere as a biquotient of the Lie group . We show for a 2-parameter family of left invariant metrics on t…