# inequality+of+surface

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**Bogomolov–Miyaoka–Yau inequality**— In mathematics, the Bogomolov–Miyaoka–Yau inequality is the inequality between Chern numbers of compact complex surfaces of general type. Its major interest is the way it restricts the possible topological types of the underlying real 4 manifold …12

**Isoperimetric inequality**— The isoperimetric inequality is a geometric inequality involving the square of the circumference of a closed curve in the plane and the area of a plane region it encloses, as well as its various generalizations. Isoperimetric literally means… …13

**Noether inequality**— In mathematics, the Noether inequality, named after Max Noether, is a property of compact minimal complex surfaces that restricts the topological type of the underlying topological 4 manifold. It holds more generally for minimal projective… …14

**Clausius–Duhem inequality**— Continuum mechanics …15

**Pu's inequality**— [ Roman Surface representing RP2 in R3] In differential geometry, Pu s inequality is an inequality proved by P. M. Pu for the systole of an arbitrary Riemannian metric on the real projective plane RP2.tatementA student of Charles Loewner s, P.M.… …16

**Riemannian Penrose inequality**— In mathematical general relativity, the Penrose inequality, first conjectured by Sir Roger Penrose, estimates the mass of a spacetime in terms of the total area of its black holes and is a generalization of the positive mass theorem. The… …17

**Minkowski's first inequality for convex bodies**— In mathematics, Minkowski s first inequality for convex bodies is a geometrical result due to the German mathematician Hermann Minkowski. The inequality is closely related to the Brunn–Minkowski inequality and the isoperimetric inequality.… …18

**Bolza surface**— Perspective projection of y^2=x^5 x in mathbb C^2.In mathematics, the Bolza surface is a compact Riemann surface of genus 2 with the highest possible order of the conformal automorphism group in this genus, namely 48. An affine model for the… …19

**Filling area conjecture**— In mathematics, in Riemannian geometry, Mikhail Gromov s filling area conjecture asserts that among all possible fillings of the Riemannian circle of length 2π by a surface with the strongly isometric property, the round hemisphere has the least… …20

**WOMAN**— This article is arranged according to the following outline: the historical perspective biblical period marriage and children women in household life economic roles educational and managerial roles religious roles women outside the household… …