Axiomatic differential geometry II-2 - differential forms

DOI10.13164/MA.2013.05zbMATH Open1325.51005arXiv1207.5121OpenAlexW2964151893WikidataQ115238896 ScholiaQ115238896MaRDI QIDQ5416019

Hirokazu Nishimura

Publication date: 19 May 2014

Published in: Mathematics for Application (Search for Journal in Brave)

Abstract: We refurbish our axiomatics of differential geometry introduced in [Mathematics for Applications,, 1 (2012), 171-182]. Then the notion of Euclideaness can naturally be formulated. The principal objective in this paper is to present an adaptation of our theory of differential forms developed in [International Journal of Pure and Applied Mathematics, 64 (2010), 85-102] to our present axiomatic framework.

Full work available at URL: https://arxiv.org/abs/1207.5121

zbMATH Keywords

Weil algebradifferential formfinitely presented algebraaxiomatic differential geometryEuclidean module

Mathematics Subject Classification ID

Differentiable manifolds, foundations (58A05) Synthetic differential geometry (51K10) Abstract manifolds and fiber bundles (category-theoretic aspects) (18F15)

Related Items (3)

Unnamed Item ⋮ DIFFERENTIAL FORMS ON STRATIFIED SPACES II ⋮ Axiomatic Differential Geometry III-1

Recommendations

• Unnamed Item 👍 👎
• Unnamed Item 👍 👎
• Unnamed Item 👍 👎
• Unnamed Item 👍 👎
• Integral geometry for differential forms 👍 👎
• Axiomatic Differential Geometry III-2 👍 👎
• Differential Geometry of Gerbes and Differential Forms 👍 👎
• A Geometric Approach to Differential Forms 👍 👎
• Axiomatic Differential Geometry II-1 Vector Fields 👍 👎
• Aspects of Differential Geometry II 👍 👎

This page was built for publication: Axiomatic differential geometry II-2 - differential forms