The basic goals of the book are: (i) to introduce the subject to those interested in discovering it, (ii) to coherently present a number of basic techniques and results, currently used in the subject, to those working in it, and (iii) to present some of the results that are attractive in their own right, and which lend themselves to a presentation not overburdened with technical machinery.
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Inside This Book
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First Sentence:
In this chapter we present the basic definitions and facts to be used in the subsequent chapters. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
pretrace formula, closed eigenvalue problem, isoembolic inequality, constant sectional curvature sphere, geometric isoperimetric inequality, nodal domain theorem, euclidean heat kernel, geodesic disk, geodesic spherical, topological perturbations, domain monotonicity, nodal domains, deck transformation group, isoperimetric constants, generalized circles, visibility angle, noncompact manifolds, geodesic polar, simple closed geodesics, curvature bounded, cut locus, injectivity radius, kinematic measure, regular domain, minimal submanifolds Key Phrases - Capitalized Phrases (CAPs): (learn more)
Surfaces of Constant Negative Curvature Fig New!
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In this chapter we present the basic definitions and facts to be used in the subsequent chapters. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
pretrace formula, closed eigenvalue problem, isoembolic inequality, constant sectional curvature sphere, geometric isoperimetric inequality, nodal domain theorem, euclidean heat kernel, geodesic disk, geodesic spherical, topological perturbations, domain monotonicity, nodal domains, deck transformation group, isoperimetric constants, generalized circles, visibility angle, noncompact manifolds, geodesic polar, simple closed geodesics, curvature bounded, cut locus, injectivity radius, kinematic measure, regular domain, minimal submanifolds Key Phrases - Capitalized Phrases (CAPs): (learn more)
Surfaces of Constant Negative Curvature Fig New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
Citations (learn more)
This book cites 46
books:
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- Differential Geometry (Proceedings of Symposia in Pure Mathematics ; V. 54 Part 1, 2, 3) (Pt.1-3) by Robert Greene in Back Matter (1), and Back Matter (2)
- Functional Integration And Quantum Physics (AMS Chelsea Publishing) by Barry Simon in Back Matter, and Index
- Seminar on Differential Geometry. (AM-102) (Annals of Mathematics Studies) by Shing-tung Yau in Back Matter (1), and Back Matter (2)
- Isoperimetric Inequalities (Monograph & Studies in Mathematics) by Catherine Bandle in Back Matter
- Topics in Harmonic Analysis on Homogeneous Spaces (Progress in Mathematics) by Sigurdur Helgason in Back Matter
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