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- 906 pages
- English
- PDF
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Huygens' Principle and Hyperbolic Equations
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About This Book
Huygens' Principle and Hyperbolic Equations is devoted to certain mathematical aspects of wave propagation in curved space-times. The book aims to present special nontrivial Huygens' operators and to describe their individual properties and to characterize these examples of Huygens' operators within certain more or less comprehensive classes of general hyperbolic operators. The materials covered in the book include a treatment of the wave equation for p-forms over a space of constant sectional curvature, the Riesz distributions, the Euler-Poisson-Darboux-equations over a Riemannian manifold, and plane wave manifolds. Physicists will find the book invaluable.
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Yes, you can access Huygens' Principle and Hyperbolic Equations by Gunther Paul, J. Coates,S. Helgason in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.
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Table of contents
- Front Cover
- Huygens' Principle and Hyperbolic Equations
- Copyright Page
- Table of Contents
- Dedication
- PREFACE
- ACKNOWLEDGEMENTS
- INTRODUCTION
- CHAPTER I
- CHAPTER II. RIESZ DISTRIBUTIONS
- CHAPTER III. THE FUNDAMENTAL SOLUTIONS
- CHAPTER IV. HUYGENS' OPERATORS
- CHAPTER V. THE EULER-POISSON-DARBOUX EQUATION
- CHAPTER VI. TRANSFORMATION THEORY
- CHAPTER VII. SOME THEOREMS ON HUYGENS' OPERATORS OVER FOUR-DIMENSIONAL SPACE-TIMES
- CHAPTER VIII. PLANE WAVE MANIFOLDS AND HUYGENS' PRINCIPLE
- TABLE I: Identities for the Weyl tensor
- TABLE II: Moments of order ≤ 4 in four dimensions
- TABLE III: Some formulas for pp-metrics
- TABLE IV: Some formulas for plane wave metrics
- APPENDIX I: METRIC AND CURVATURE IN NORMAL COORDINATES
- APPENDIX II: WEAK HUYGENS' OPERATORS By V. Wünsch
- APPENDIX III: HUYGENS' PRINCIPLE FOR SPIN TENSOR EQUATIONS By V. Wünsch
- INDEX
- BIBLIOGRAPHY