Gauss and Intrinsic Differential Geometry

Autor:	Raymond O. Wells
Rok vydání:	2017
Předmět:	Surface (mathematics) Physics symbols.namesake Differential geometry Mathematical analysis Gauss Metric (mathematics) Gaussian curvature symbols Differential geometry of curves Geometry Curvature Ambient space
Zdroj:	Differential and Complex Geometry: Origins, Abstractions and Embeddings ISBN: 9783319581835
DOI:	10.1007/978-3-319-58184-2_4
Popis:	In the 1820s Gauss showed how one can do fundamental geometry on a two-dimensional surface independent of how the surface might be contained in an ambient space. This involved formulating a metric on the surface and a way of measuring angles, curvature, and other geometric objects in an intrinsic way on the surface. It formed the basis for what became the discipline of di erential geometry in the twentieth century.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5ba34b2b1e463739121db6881cf1d6ad https://doi.org/10.1007/978-3-319-58184-2_4 Zobrazit plný text záznamu