منابع مشابه
Spaces with Non-symmetric Affine Connection
The beginning of the study of non-symmetric affine connection spaces is especially in relation with the works of A. Einstein on United Field Theory (UFT). The paper is a short survey of the development of the theory of these spaces. AMS Mathematics Subject Classification (2000): 53C25, 53A45, 53B05
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Let AG(n,Fq) be the n-dimensional affine space over the finite field Fq. For 0 ≤ m ≤ n − 1, define a graph G whose vertex set is the set of all m-flats of AG(n,Fq), such that two vertices F1 and F2 are adjacent if dim(F1∨F2) = m+1, where F1∨F2 is the minimum flat containing both F1 and F2. Let ASG(2ν,Fq) be the 2ν-dimensional affine-symplectic space over Fq. Define a graph S (ν) whose vertex se...
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A symmetric key encryption scheme is described for blocks of general size N that is a product of powers of many prime numbers. This is accomplished by realising each number (representing a message unit) as a point in a product of affine spaces over various finite fields. Then algebro-geometric transformations on those spaces is transported back to provide encryption. For a specific block size <...
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In this paper we study generalized symmetric Berwald spaces. We show that if a Berwald space $(M,F)$ admits a parallel $s-$structure then it is locally symmetric. For a complete Berwald space which admits a parallel s-structure we show that if the flag curvature of $(M,F)$ is everywhere nonzero, then $F$ is Riemannian.
متن کاملOn exotic algebraic structures on affine spaces
We review the recent developement on the subject, emphasizing its analytic aspects and pointing out some open problems. The study of exotic C-s is at the very beginning, and hopefully this survey would be useful to learn more about these unusual and beautiful objects. All algebraic varieties considered below are usually assumed being smooth, reduced, irreducible, and defined over C. Isomorphism...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1965
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1965-0184170-2