Kryukov, Alexey (2001) Coordinate formalism on Hilbert manifolds. [Preprint]

Preview	Postscript string.ps Download (208kB)
	Tex/LaTeX string.tex Download (56kB)

Abstract

Infinite-dimensional manifolds modelled on arbitrary Hilbert spaces of functions are considered. It is shown that changes in model rather than changes of charts within the same model make coordinate formalisms on finite and infinite-dimensional manifolds deeply similar. In this context the infinite-dimensional counterparts of simple notions such as basis, dual basis, orthogonal basis, etc. are shown to be closely related to the choice of a model. It is also shown that in this formalism a single tensor equation on an infinite-dimensional manifold produces a family of functional equations on different spaces of functions.

---

Export/Citation:

EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL

Social Networking:

Share |

---

Item Type:	Preprint
Creators:	Creators Email ORCID Kryukov, Alexey
Keywords:	Hilbert manifolds, infinite-dimensional manifolds
Subjects:	Specific Sciences > Mathematics
Depositing User:	Alexey Kryukov
Date Deposited:	15 Oct 2001
Last Modified:	07 Oct 2010 15:10
Item ID:	440
Public Domain:	No
Subjects:	Specific Sciences > Mathematics
Date:	October 2001
URI:	https://philsci-archive.pitt.edu/id/eprint/440

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item