Reconstructions from integrals over non - analytic 1 manifolds
نویسنده
چکیده
The known integral transforms of Funk-Radon type are applied 5 to manifolds which have algebraic structure (planes, spheres, ellipsoids, hyper6 boloids, paraboloids etc.). A variety of new exact reconstructions is described 7 in this paper for the integral transforms on arbitrary smooth manifolds X 8 embedded in an a¢ ne space E with an additional structure. 9 MSC (2010) Primary 53C65; Secondary 44A12 10
منابع مشابه
Hyperkähler embeddings and holomorphic symplectic geometry I. Mikhail Verbitsky,
Hyperkähler embeddings and holomorphic symplectic geometry I. 0. Introduction. In this paper we are studying complex analytic subvarieties of a given Kähler manifold which is endowed with a holomorphic symplectic structure. By Calabi-Yau theorem, the holomorphically symplectic Kähler mani-folds can be supplied with a Ricci-flat Riemannian metric. This implies that such manifolds are hyperkähler...
متن کاملThe Generalized Stokes’ Theorem
This paper will prove the generalized Stokes Theorem over kdimensional manifolds. We will begin from the definition of a k-dimensional manifold as well as introduce the notion of boundaries of manifolds. Using these, we will construct the necessary machinery, namely tensors, wedge products, differential forms, exterior derivatives, and integrals over manifolds, in order to prove the main result...
متن کاملDonaldson invariants for non-simply connected manifolds
We study Coulomb branch (“u-plane”) integrals for N = 2 supersymmetric SU(2), SO(3) Yang-Mills theory on 4-manifolds X of b1(X) > 0, b + 2 (X) = 1. Using wall-crossing arguments we derive expressions for the Donaldson invariants for manifolds with b1(X) > 0, b+2 (X) > 0. Explicit expressions for X = CP 1 × Fg, where Fg is a Riemann surface of genus g are obtained using Kronecker’s double series...
متن کاملA Theorem of Green's Type for Functions of Two Complex Variables1
1. Domains with a distinguished boundary surface. Functions of the extended class. The real and imaginary parts of a function of « complex variables are harmonic functions of 2n real variables. Using Green's theorem one can transform Dirichlet integrals over a 2mdimensional domain, say D, into integrals over the (2n — ̂ -dimensional boundary of D. Using this procedure (and exploiting some furthe...
متن کاملSimultaneous Diophantine Approximation in Non-degenerate p-adic Manifolds
S-arithmetic Khintchine-type theorem for products of non-degenerate analytic p-adic manifolds is proved for the convergence case. In the padic case the divergence part is also obtained. 1
متن کامل