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11.
R. J. Baston 《Journal of Geometry and Physics》1992,8(1-4):29-52
Each regular or semi-regular integral affine orbit of the Weyl group of gl(2n + 2,
) invariantly determines a locally exact differential complex on a 4n dimensional quaternionic manifold. This gives quaternionic analogues of Dolbeault cohomology on complex manifolds. We compute the index of such complexes in the hyper-Kähler case, showing that quaternionic cohomology is not trivial. 相似文献
12.
第四类超Cartan域上的比较定理 总被引:3,自引:1,他引:2
本文得到了第四类超Cartan域上的Bergman度量和Kobayashi度量的比较定理. 相似文献
13.
The purpose of this paper is to give a characterization of real hypersurfaces of type A0, A in a quaternionic hyperbolic space
QH
m by the covariant derivative of the second fundamental tensor.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
14.
M. Ortega 《Acta Mathematica Hungarica》2002,93(3):225-242
A Riemannian manifold satisfies the axiom of 2-planes if at each point, there are suficiently many totally geodesic surfaces passing through that point. Real hypersurfaces in quaternionic space forms admit nice families of tangent planes, namely, totally real, half-quaternionic and quaternionic. Several definitions of axiom of planes arise naturally when we consider such families of tangent planes. We are able to classify real hypersurfaces in quaternionic space forms satisfying these definitions. 相似文献
15.
16.
Any oriented 4-dimensional real vector bundle is naturally a line bundle over a bundle of quaternion algebras. In this paper we give an account of modules over bundles of quaternion algebras, discussing Morita equivalence, characteristic classes and K-theory. The results have been used to describe obstructions for the existence of almost quaternionic structures on 8-dimensional Spinc manifolds in ?adek et al. (2008) [5] and may be of some interest, also, in quaternionic and algebraic geometry. 相似文献
17.
Kit Ian Kou Jianyu Ou Joao Morais 《Mathematical Methods in the Applied Sciences》2016,39(10):2722-2736
In the present paper, we generalize the linear canonical transform (LCT) to quaternion‐valued signals, known as the quaternionic LCT (QLCT). Using the properties of the LCT, we establish an uncertainty principle for the two‐sided QLCT. This uncertainty principle prescribes a lower bound on the product of the effective widths of quaternion‐valued signals in the spatial and frequency domains. It is shown that only a Gaussian quaternionic signal minimizes the uncertainty. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
18.
W. Sprößig 《Advances in Applied Clifford Algebras》2009,19(2):453-466
This article considers the Boussinesq approximation of Poisson–Stokes equations under given initial value and boundary value
conditions. Using a quaternionic operator calculus representations of solutions are presented. If the boundedness of the velocity
can be assumed then a stable semi-discretisation procedure approximates the problem.
Received: October, 2007. Accepted: February, 2008. 相似文献
19.
J. O. González-Cervantes M. E. Luna-Elizarrarás M. Shapiro 《Advances in Applied Clifford Algebras》2009,19(2):325-338
Basic facts are presented about the theory of quaternionic Bergman spaces with special emphasis on what is happening with
them under conformal transformations of the domains. Constructing a series of categories of quaternion-valued functions as
well as functors acting between them we show that the arising spaces and operators have conformally covariant or invariant
characters in terms of the theory of categories.
The second-named and the third-named authors were partially supported by CONACYT projects as well as by IPN in the framework
of COFAA and SIP programs. 相似文献
20.
主要讨论了四元数空间中正则函数与非齐次n阶方程(■~n F)/(■z~n)=f在超球上的Dirichlet问题和双圆柱上具有任意整数指标的Riemann-Hilbert问题,给出了可解条件和解的积分表示式. 相似文献