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On successive minima and intrinsic volumes

 

作者: U. Schnell,   J. M. Wills,  

 

期刊: Mathematika  （WILEY Available online 1993）
卷期: Volume 40, issue 1  

页码: 144-147

 

ISSN:0025-5793

 

年代: 1993

 

DOI:10.1112/S0025579300013772

 

出版商: London Mathematical Society

 

数据来源: WILEY

 

摘要:

AbstractIn Euclideand‐spaceEdwe prove inequalities between the intrinsic volumes (i.e., normalized quermassintegrals) of convex bodies and the successive minima of arbitrary lattices. The inequalities are tight and they generalize earlier results of Hadwiger and Henk for the integer lattice ℤd.

 

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