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Differential Geometry
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Differential Geometry

2022 ed.

Book Details

Format Paperback / Softback
Book Series Moscow Lectures
ISBN-10 3030922510
ISBN-13 9783030922511
Edition 2022 ed.
Publisher Springer Nature Switzerland AG
Imprint Springer Nature Switzerland AG
Country of Manufacture GB
Country of Publication GB
Publication Date Feb 11th, 2023
Print length 271 Pages
Weight 438 grams
Dimensions 15.50 x 23.50 x 1.70 cms
Product Classification: Differential & Riemannian geometry
Ksh 9,000.00
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An introduction to the Riemannian geometry of manifolds is preceded by a detailed discussion of properties of curves and surfaces.The chapter on the differential geometry of plane curves considers local and global properties of curves, evolutes and involutes, and affine and projective differential geometry.
This book combines the classical and contemporary approaches to differential geometry. An introduction to the Riemannian geometry of manifolds is preceded by a detailed discussion of properties of curves and surfaces.

The chapter on the differential geometry of plane curves considers local and global properties of curves, evolutes and involutes, and affine and projective differential geometry. Various approaches to Gaussian curvature for surfaces are discussed. The curvature tensor, conjugate points, and the Laplace-Beltrami operator are first considered in detail for two-dimensional surfaces, which facilitates studying them in the many-dimensional case. A separate chapter is devoted to the differential geometry of Lie groups.



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