The basic references are [7] and [6]. The parameters given in these notes only exist in the unpublished preprint [4]. The case of regular integral in-finitesimal character is discussed in [1]. Everything appears, sometimes in somewhat different form, in [2]. A root datum is a quadruple (applied to Z∆ and Z∆ ∨) the conditions determine the bijection uniquely once ∆ and ∆ ∨ are given. In particul...

The fundamental laws of physics can be derived from the requirement of invariance under suitable classes of transformations on the one hand, and from the need for a well-posed mathematical theory on the other hand. As a part of this programme, the present paper shows under which conditions the introduction of pseudo-differential boundary operators in one-loop Euclidean quantum gravity is compat...

Within the framework of complex supergeometry and motivated by two-dimensional genus-zero holomorphic N = 2 superconformal field theory , we define the moduli space of N = 2 super-Riemann spheres with oriented and ordered half-infinite tubes (or equivalently, oriented and ordered punctures, and local superconformal coordinates vanishing at the punctures), modulo N = 2 superconformal equivalence...

Seth’s transition theory is applied to the problems of thickness variation parameter in a thin rotating disc by finite deformation. Neither the yield criterion nor the associated flow rule is assumed here. The results obtained here are applicable to compressible materials. If the additional condition of incompressibility is imposed, then the expression for stresses corresponds to those arising ...

A sphere moving down the surface of a static sphere and a simple phase diagram. Abstract A small sphere placed on the top of a big static fric-tionless sphere, slips until it leaves the surface at an angle θ l = cos −1 2/3. On the other extreme, if the surface of the big sphere has coefficient of static friction , µ s → ∞, the small sphere starts rolling and continues to do so until it leaves t...

A sphere moving down the surface of a static sphere and a simple phase diagram. Abstract A small sphere placed on the top of a big static fric-tionless sphere, slips until it leaves the surface at an angle θ l = cos −1 2/3. On the other extreme, if the surface of the big sphere has coefficient of static friction , µ s → ∞, the small sphere starts rolling and continues to do so until it leaves t...

For any compact Kähler manifold M , the cone of Kählerian in-finitesimal deformations of M , say KID(M), is by definition the subset of H 1 (M, Θ) (the 1 st cohomology of the holomorphic tangent sheaf of M) consisting of those elements in the images of Kodaira-Spencer maps for the germs of complex analytic families (X, M) → (S, 0) such that X carries a Kähler metric. If M is a complex torus of ...