Document Type

Article

Rights

This item is available under a Creative Commons License for non-commercial use only

Publication Details

To appear in Journal of Geometry and Physics (2012).

Online: http://www.sciencedirect.com/science/article/pii/S0393044012000927

Abstract

We establish geometric properties of Stiefel and Grassmann manifolds which arise in relation to Slatertype variational spaces in many-particle Hartree-Fock theory and beyond. In particular, we prove thatthey are analytic homogeneous spaces and submanifolds of the space of bounded operators on the single-particle Hilbert space. As a by-product we obtain that they are complete Finsler manifolds. These geometric properties underpin state-of-the-art results on existence of solutions to Hartree-Fock type equations.

DOI

http://doi.org10.21427/6hde-rn66

Funder

Science Foundation Ireland


Plum Print visual indicator of research metrics
PlumX Metrics
  • Citations
    • Citation Indexes: 14
  • Usage
    • Downloads: 604
    • Abstract Views: 39
  • Captures
    • Readers: 10
see details

Share

COinS