منابع مشابه
Frobenius Manifolds: Natural Submanifolds and Induced Bi-hamiltonian Structures
Submanifolds of Frobenius manifolds are studied. In particular, so-called natural submanifolds are defined and, for semi-simple Frobenius manifolds, classified. These carry the structure of a Frobenius algebra on each tangent space, but will, in general, be curved. The induced curvature is studied, a main result being that these natural submanifolds carry a induced pencil of compatible metrics....
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We prove that the associativity equations of two-dimensional topological quantum field theories are very natural reductions of the fundamental nonlinear equations of the theory of submanifolds in pseudo-Euclidean spaces and give a natural class of potential flat torsionless submanifolds. We show that all potential flat torsionless submanifolds in pseudo-Euclidean spaces bear natural structures ...
متن کاملFrobenius Manifolds as a Special Class of Submanifolds in Pseudo-Euclidean Spaces
We introduce a very natural class of potential submanifolds in pseudo-Euclidean spaces (each Ndimensional potential submanifold is a special flat torsionless submanifold in a 2N-dimensional pseudoEuclidean space) and prove that each N-dimensional Frobenius manifold can be locally represented as an N-dimensional potential submanifold. We show that all potential submanifolds bear natural special ...
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We introduce the notion of a weakly reflective submanifold, which is an austere submanifold with a certain global condition, and study its fundamental properties. Using these, we determine weakly reflective orbits and austere orbits of s-representations.
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In this paper, we study the structure of nite Frobenius groups whose non-rational or non-real irreducible characters are linear.
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2001
ISSN: 0393-0440
DOI: 10.1016/s0393-0440(00)00064-4