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The Geometry of Submanifolds
Yu. Aminov
出版CRC Press, 2001-01-11
主題Mathematics / Geometry / GeneralScience / Physics / Mathematical & Computational
ISBN905699087X9789056990879
URLhttp://books.google.com.hk/books?id=1CjCaO6Bbu4C&hl=&source=gbs_api
EBookSAMPLE
註釋This is a comprehensive presentation of the geometry of submanifolds that expands on classical results in the theory of curves and surfaces. The geometry of submanifolds starts from the idea of the extrinsic geometry of a surface, and the theory studies the position and properties of a submanifold in ambient space in both local and global aspects. Discussions include submanifolds in Euclidean states and Riemannian space, minimal submanifolds, Grassman mappings, multi-dimensional regular polyhedra, and isometric immersions of Lobachevski space into Euclidean spaces. This volume also highlights the contributions made by great geometers to the geometry of submanifolds and its areas of application.