A Comprehensive Introduction to Differential Geometry, Vol. 4, 3rd Edition

A Comprehensive Introduction to Differential Geometry, Vol. 4 – 3rd Edition

by Michael Spivak

Discover the advanced world of differential geometry with Volume Four of Michael Spivak’s renowned series. This third edition, published by Publish or Perish, Inc.®, explores the geometry of higher-dimensional spaces with mathematical depth and clarity.

Ideal for advanced students and researchers, this volume offers rigorous treatments of curvature, submanifolds, and geometric structures in Riemannian manifolds.

• Higher Dimensions and Codimensions: Analyze the structure and behavior of complex geometric spaces
• Curves in Riemannian Manifolds: Understand the geometry of curves in curved spaces
• Fundamental Equations: Explore the governing equations for submanifolds
• Constant Curvature Manifolds: Study the properties of spaces with uniform curvature
• Orthonormal Frames and Connection Forms: Includes Beltrami’s Theorem and the Ricci Equations

This volume continues the series’ tradition of mathematical rigor and elegant exposition, making it an indispensable reference for anyone studying or working in differential geometry.

ISBN: 9780914098737