{"product_id":"on-relative-geometric-inequalities-von-ana-cerdan-sala","title":"On Relative Geometric Inequalities","description":"\u003cp\u003eThroughout history, many mathematicians have  studied and proved numerous geometric inequalities.  The first example was the classical isoperimetric  inequality in the plane. Later, many variants of  this inequality and generalizations to higher  dimensions were obtained. Corresponding to them, several relative  isoperimetric inequalities appeared. In these  inequalities, the area (volume) of a set E was  compared with the relative perimeter (the measure  of part of the boundary of E, in particular the  part of the boundary which is contained in other  open set G). The aim of this book is to present a precise study  of relative geometric inequalities, in which we  compare not only the relative volume and the  relative perimeter, but also other relative  geometric magnitudes. We shall look for the infimum  and the supremum of the considered ratios, and for  the sets which attain these bounds (maximizers and  minimizers). We shall also obtain relative  geometric inequalities for centrally symmetric  compact, convex surfaces using the intrinsic  distance. Finally, several applications of these  inequalities, to other fields of mathematics and to  real life problems, are described.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783838394695\"\u003e\u003ch3\u003eComparing relative geometric measures\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783838394695","offer_id":39498901618781,"sku":"9783838394695","price":49.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/49531fe2-c338-4989-8c20-2a3e2f68ed9c.jpg?v=1759292989","url":"https:\/\/shop.autorenwelt.de\/products\/on-relative-geometric-inequalities-von-ana-cerdan-sala","provider":"Autorenwelt Shop","version":"1.0","type":"link"}