Differential geometry via infinitesimal displacements
نویسندگان
چکیده
منابع مشابه
Differential Geometry via Infinitesimal Displacements
We present a new formulation of some basic differential geometric notions on a smooth manifold M , in the setting of nonstandard analysis. In place of classical vector fields, for which one needs to construct the tangent bundle of M , we define a prevector field, which is an internal map from ∗M to itself, implementing the intuitive notion of vectors as infinitesimal displacements. We introduce...
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ژورنال
عنوان ژورنال: Journal of Logic and Analysis
سال: 2015
ISSN: 1759-9008
DOI: 10.4115/jla.2015.7.5