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Geometry, Algebra and Applications: From Mechanics to Cryptography

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Cover of 'Geometry, Algebra and Applications: From Mechanics to Cryptography'

Table of Contents

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    Book Overview
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    Chapter 1 A Survey on Homogeneous Structures on the Classical Hyperbolic Spaces
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    Chapter 2 On the $$(1+3)$$ ( 1 + 3 ) Threading of Spacetime
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    Chapter 3 Local Structure of Self-Dual Gradient Yamabe Solitons
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    Chapter 4 The Prescribed Curvature Problem in Low Dimension
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    Chapter 5 Euler–Poincaré Reduction by a Subgroup of Symmetries as an Optimal Control Problem
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    Chapter 6 Morse Families and Lagrangian Submanifolds
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    Chapter 7 Special Primes: Properties and Applications
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    Chapter 8 Rotation Minimizing Vector Fields and Frames in Riemannian Manifolds
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    Chapter 9 Local Anomaly Cancellation and Equivariant Cohomology of Jet Bundles
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    Chapter 10 Classes of Nonlinear Filters for Stream Ciphers
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    Chapter 11 Implementation of Cryptographic Algorithms for Elliptic Curves
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    Chapter 12 Supermanifolds, Symplectic Geometry and Curvature
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    Chapter 13 Prime Submodules and Symmetric Algebras
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    Chapter 14 Application to Cybersecurity of the Stability Theory of the Systems of Ordinary Differential Equations
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    Chapter 15 On the Non-triviality of the Eight-Form $$\tau _4(\omega )$$ τ 4 ( ω ) on Manifolds with a $$\mathrm {Spin}(9)$$ Spin ( 9 ) -Structure
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    Chapter 16 Flaws in the Application of Number Theory in Key Distribution Schemes for Multicast Networks
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    Chapter 17 Einstein–Hilbert Lagrangian Induced on the Linear Frame Bundle
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