Introduction to Lorentz geometry : curves and surfaces /: curves and surfaces. (2020)

• Record Type: Book
• Further Information: Note: Ivo Terek Couto, Alexandre Lymberopoulos.
• Authors: Couto, Ivo Terek; Lymberopoulos, Alexandre
• Contents: 1. Welcome to Lorentz-Minkowski Space. 1.1. Pseudo–Euclidean Spaces. 1.2. Subspaces of Rᵑᵥ . 1.3. Contextualization in Special Relativity. 1.4. Isometries in Rᵑᵥ. 1.5. Investigating O1(2, R ) And O1(3, R ). 1.6 Cross Product in Rᵑᵥ . 2. Local Theory of Curves. 2.1. Parametrized Curves in Rᵑᵥ . 2.2. Curves in the Plane. 2.3. Curves in Space. 3. Surfaces in Space. 3.1. Basic Topology of Surfaces. 3.2. Casual type of Surfaces, First Fundamental Form. 3.3. Second Fundamental Form and Curvatures. 3.4. The Diagonalization Problem. 3.5. Curves in Surface. 3.6. Geodesics, Variational Methods and Energy. 3.7. The Fundamental Theorem of Surfaces. 4. Abstract Surfaces and Further Topics. 4.1. Pseudo-Riemannian Metrics. 4.2. Riemann’s Classification Theorem. 4.3. Split-Complex Numbers and Critical Surfaces. 4.4 Digression: Completeness and Causality
• Edition: 1st
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2020
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 516.36; Geometry, Differential; Lorentz transformations; Curves; Surfaces; Mathematical physics
• Languages: English
• ISBNs: 9781000223361; 9781000223347; 9781000223354; 9781003031574
• Related ISBNs: 9780367468644
• Notes: Note: Includes bibliographical references and index.; Note: Description based on CIP data; resource not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.