منابع مشابه
On symmetric Cauchy-Riemann manifolds
The Riemannian symmetric spaces play an important role in different branches of mathematics. By definition, a (connected) Riemannian manifold M is called symmetric if, to every a ∈ M , there exists an involutory isometric diffeomorphism sa:M → M having a as isolated fixed point in M (or equivalently, if the differential dasa is the negative identity on the the tangent space Ta = TaM of M at a)....
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Boundary layer problems (Singular perturbation problems) more have been applied for ordinary differential equations. While this theory for partial differential equations have many applications in several fields of physics and engineering. Because of complexity of limit and boundary behavior of the solutions of partial differential equations these problems considered less than ordinary case. In ...
متن کاملA Fast Algorithm to Solve Nonhomogeneous Cauchy-Riemann Equations in the Complex Plane
An algorithm is provided for the fast and accurate computation of the solution of nonhomogeneous Cauchy-Riemann equations in the complex plane in the interior of a unit disk. The algorithm is based on the representation of the solution in terms of a double integral, some recursive relations in Fourier space, and fast Fourier transforms. The numerical evaluation of the solution at N2 points on a...
متن کاملOn Three-dimensional Cauchy-riemann Manifolds
of the almost complex tensor of C2 ("multiplication by i "). The collection of these subspaces HpM forms a bundle H MeT M called the horizontal or contact bundle. (Indeed, strict pseudoconvexity of M implies that the plane field {HpM} is nondegenerate, i.e. defines a contact structure.) The almost complex tensor of C2 then restricts to a bundle endomorphism J : H M -+ H M such that J2 = -id. Th...
متن کاملPrincipal Toroidal Bundles over Cauchy - Riemann Products
The main result we obtain is that given t N M a TS-subbundle of the generalized Hopf fibration t H2+’cP over a Cauchy-Riemann product M _ cP, i.e. N _ H is a diffeomorphism on fibres and oj= ot, if s is even and N is a closed submanifold tangent to the structure vectors of the canonical 5Zstructure on H then N is a Cauchy-Riemann submanifold whose Chen class is non-vanishing.
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1979
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1979-0521278-7