A cellation of the Grassmann manifold

B. Curtis Eaves; Karl H Schmedders

A cellation of the Grassmann manifold

B. Curtis Eaves, Karl H Schmedders^*

^*Corresponding author for this work

EMBA Evanston

Research output: Contribution to journal › Article › peer-review

Abstract

Motivated by the computation of equilibria in economic models with incomplete asset markets, a cellation of the Grassmann manifold is constructed by restricting a common atlas. The Grassmann manifold of m-planes in n-dimensional space is shown to be a union of n choose m congruent m(n - m)-dimensional topological disks whose interiors are disjoint.

Original language	English (US)
Pages (from-to)	253-262
Number of pages	10
Journal	Mathematical Programming, Series B
Volume	83
Issue number	2
State	Published - Oct 1 1998

Keywords

Cellation
Covering
Equilibria in incomplete asset markets
Grassmann manifold

ASJC Scopus subject areas

Software
Mathematics(all)

Cite this

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title = "A cellation of the Grassmann manifold",

abstract = "Motivated by the computation of equilibria in economic models with incomplete asset markets, a cellation of the Grassmann manifold is constructed by restricting a common atlas. The Grassmann manifold of m-planes in n-dimensional space is shown to be a union of n choose m congruent m(n - m)-dimensional topological disks whose interiors are disjoint.",

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author = "Eaves, {B. Curtis} and Schmedders, {Karl H}",

year = "1998",

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AU - Schmedders, Karl H

PY - 1998/10/1

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N2 - Motivated by the computation of equilibria in economic models with incomplete asset markets, a cellation of the Grassmann manifold is constructed by restricting a common atlas. The Grassmann manifold of m-planes in n-dimensional space is shown to be a union of n choose m congruent m(n - m)-dimensional topological disks whose interiors are disjoint.

AB - Motivated by the computation of equilibria in economic models with incomplete asset markets, a cellation of the Grassmann manifold is constructed by restricting a common atlas. The Grassmann manifold of m-planes in n-dimensional space is shown to be a union of n choose m congruent m(n - m)-dimensional topological disks whose interiors are disjoint.

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KW - Covering

KW - Equilibria in incomplete asset markets

KW - Grassmann manifold

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JF - Mathematical Programming

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A cellation of the Grassmann manifold

Abstract

Keywords

ASJC Scopus subject areas

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