We show that wonderful varieties are necessarily spherical (i.e., they are almost homogeneous under any Borel subgroup ofG).
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Recently, there is a renewed interest in wonderful varieties of rank two since they were shown to hold a keystone position in the theory of spherical varieties, see [L], [BP], and [K].
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In particular, we obtain a presentation of the Chow ring of any smooth, projective spherical variety.
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We then give a combinatorial classification of reductive monoids by means of the theory of spherical varieties.
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We prove that, for a real reductive algebraic group, they can be characterized as the spaces of real points of affine spherical homogeneous varieties of the complexified group.
In previous investigations exact yield conditions for axisymmetric shells are given in terms of four generalized stresses, n1, n2, m1, m2, In the present paper, the intensity of membrane stress, n, and the intensity of bending moment, m, are used to give the statical and kinematical yield surfaces for materials that obey the maximum shear stress criterion.The statical yield surface isThe kinematical yield surface isWhen the statical yield surface is multiplied by a factor 1.31, it becomes another kinematica...
A general theory for snap-through buckling of an open bimetallic shallow spherical shell under uniform temperature field is presented in this paper. It relates the critical buckling temperature both to physical and geometrical parameters of the shell, including the extent of its central opening as another important factor. Furthermore, they are expressed accordingly by various practical curves. While reducing to the special case of a closed shallow spherical shell, present theory appears to be i...
In 1939, the importance of the nonlinear feature in the shell buckling problem was first pointed out in a most spectacular manner by von Karman and Tsien.but the mathematical difficulty is so great that progress has been slow after the first attempts. According to our experience, we should face the difficult barrier of solving nonlinear differential equations and an effective, simple, accurate method is required. On the other hand, modern rapid developements in technics, such as aeronautical, naval, structu...