Titlebook: Lectures on Sphere Arrangements – the Discrete Geometric Side; Károly Bezdek Book 2013 Springer International Publishing Switzerland 2013

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格子架

Fields Institute Monographshttp://image.papertrans.cn/l/image/583602.jpg

ABOUT

https://doi.org/10.1007/978-1-4614-8118-8Schramm‘s lower bound; The Kneser–Poulsen theorem; ball-polyhedra; contractions of sphere arrangements;

黃瓜

Contractions of Sphere Arrangements,res. The research on this fundamental topic started with the conjecture of E. T. Poulsen and M. Kneser in the late 1950s. In this chapter we survey the status of the long-standing Kneser–Poulsen conjecture in Euclidean as well as in non-Euclidean spaces.

招募

Proofs on Contractions of Sphere Arrangements,r dimensional. Second, we prove an analogue of the Kneser–Poulsen conjecture for hemispheres in spherical .-space. Third, we give a proof of a Kneser–Poulsen-type theorem for convex polyhedra in hyperbolic 3-space.

BATE

Coverings by Cylinders, question and its variants continue to generate interest in the geometric and analytic aspects of coverings by cylinders in the present time as well. This chapter surveys plank theorems, covering convex bodies by cylinders, Kadets–Ohmann-type theorems and investigates partial coverings of balls by planks.

BLOT

Proofs on Coverings by Cylinders,we prove a lower estimate for the sum of the cross-sectional volumes of cylinders covering a convex body in Euclidean .-space. Then we prove a Kadets–Ohmann-type theorem in spherical .-space for coverings of balls by convex bodies via volume maximizing lunes. Finally, we give estimates for partial coverings of balls by planks in Euclidean .-space.

LAVE

稱贊

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