Transformations of Surfaces
by Luther Pfahler Eisenhart
Publisher: Princeton University Press 1923
Number of pages: 371
Description:
Most, if not all, of the transformations which have been developed in recent years are reducible to transformations F or to transformations of the type such that a surface and a transform are focal surfaces of a W congruence. It is the purpose of this book to develop these two types of transformations and thereby to coordinate the results of many investigations.
Download or read it online for free here:
Download link
(multiple formats)
Similar books
An Introduction to Gaussian Geometryby Sigmundur Gudmundsson - Lund University
These notes introduce the beautiful theory of Gaussian geometry i.e. the theory of curves and surfaces in three dimensional Euclidean space. The text is written for students with a good understanding of linear algebra and real analysis.
(13437 views)
Comparison Geometryby Karsten Grove, Peter Petersen - Cambridge University Press
This volume is an up-to-date panorama of Comparison Geometry, featuring surveys and new research. Surveys present classical and recent results, and often include complete proofs, in some cases involving a new and unified approach.
(14593 views)
Orthonormal Basis in Minkowski Spaceby Aleks Kleyn, Alexandre Laugier - arXiv
In this paper, we considered the definition of orthonormal basis in Minkowski space, the structure of metric tensor relative to orthonormal basis, procedure of orthogonalization. Contents: Preface; Minkowski Space; Examples of Minkowski Space.
(12114 views)
Tight and Taut Submanifoldsby Thomas E. Cecil, Shiing-shen Chern - Cambridge University Press
Tight and taut submanifolds form an important class of manifolds with special curvature properties, one that has been studied intensively by differential geometers since the 1950's. This book contains six articles by leading experts in the field.
(14284 views)