Quaternion space
نویسندگان
چکیده
منابع مشابه
Ricci Curvature of Quaternion Slant Submanifolds in Quaternion Space Forms
In this article, we obtain sharp estimate of the Ricci curvature of quaternion slant, bi-slant and semi-slant submanifolds in a quaternion space form, in terms of the squared mean curvature.
متن کاملWarped Product Submanifolds in Quaternion Space Forms
B.Y. Chen [3] established a sharp inequality for the warping function of a warped product submanifold in a Riemannian space form in terms of the squared mean curvature. For a survey on warped product submanifolds we refer to [4]. In [8], we established a similar relationship between the warping function f (intrinsic structure) and the squared mean curvature and the holomorphic sectional curvatu...
متن کاملSome Inequalities on Invariant Submanifolds in Quaternion Space Forms
We establish some inequalities for invariant submanifolds involving totally real sectional curvature and the scalar curvature in a quaternion space form. The equality cases are also discussed. AMS Mathematics Subject Classification (2010): 53C40
متن کاملAlgebraic reduction for space-time codes based on quaternion algebras
In this paper we introduce a new right preprocessing method for the decoding of 2 × 2 algebraic STBCs, called algebraic reduction, which exploits the multiplicative structure of the code. The principle of the new reduction is to absorb part of the channel into the code, by approximating the channel matrix with an element of the maximal order of the algebra. We prove that algebraic reduction att...
متن کاملSpace-time codes based on quaternion algebras of small volume
We have seen in [13] a new reduction method for the decoding of 2×2 algebraic space-time codes, called algebraic reduction as been introduced. Algebraic codes such that the volume of the Dirichlet’s polyhedron of its units group is small are better suited for decoding using the method of algebraic reduction. In this paper, we propose a new framework for constructing a space-time code whose alge...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1902
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1902-1500586-2