Harmonic Morphisms between Riemannian Manifolds (london Mathematical Society Monographs: New Series 29)
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چکیده
spherical and hyperbolic space. It is divided into two equal-sized parts: the first is devoted to the two-dimensional case, where much more is known than in the n-dimensional setting, which is discussed in the second part. In addition, there is an appendix providing some important background information, essentially from convex geometry. Many of the sections end with interesting and stimulating open problems, and each chapter closes with a brief survey of related problems. The material is presented in a clear and concise way. The author has succeeded in providing a unified treatment of all these different threads of finite packing and covering problems. The sometimes technical and condensed proofs are introduced by brief descriptions of their underlying basic ideas, which is a very helpful aid to understanding them. It is a pity, however, that the book contains no figures, particularly in the two-dimensional part. Also, whilst the bibliography is huge and impressive, and contains many of the less well-known and earlier references, the index and the list of notation are unfortunately too short. All in all, however, this book is a unique and indispensable source for everyone interested in finite packing and covering of convex bodies.
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