TITLE

Energy quantization for triholomorphic maps

AUTHOR(S)
Changyou Wang
PUB. DATE
October 2003
SOURCE
Calculus of Variations & Partial Differential Equations;Oct2003, Vol. 18 Issue 2, p145
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Let $\{u_n\}\subset H^1(M, N)$ be weakly convergent stationary triholomorphic maps from a hyperk�hler manifold M to another hyperk�hler manifold N. We establish an energy quantization for the density function of the defect measure on the concentration set.
ACCESSION #
11090218

 

Related Articles

  • Milnor fibrations of meromorphic functions. Bodin, Arnaud; Pichon, Anne; Seade, José // Journal of the London Mathematical Society;Oct2009, Vol. 80 Issue 2, p311 

    In analogy with the holomorphic case, we compare the topology of Milnor fibrations associated to a meromorphic germ f / g: the local Milnor fibrations given on Milnor tubes over punctured discs around the critical values of f / g, and the Milnor fibration on a sphere.

  • Continuation of separately analytic functions defined on part of a domain boundary. Sadullaev, A.; Imomkulov, S. // Mathematical Notes;May/Jun2006, Vol. 79 Issue 5/6, p869 

    Suppose that D ⊂ ℂn is a domain with smooth boundary ∂ D, E ⊂ ∂ D is a boundary subset of positive Lebesgue measure mes( E) > 0, and F ⊂ G is a nonpluripolar compact set in a strongly pseudoconvex domain G ⊂ ℂm. We prove that, under some...

  • Separately Holomorphic Functions with Pluripolar Singularities. Alehyane, Omar; Amal, Hichame // Vietnam Journal of Mathematics;Sep2003, Vol. 31 Issue 3, p333 

    In this paper, we show that if f is a separately holomorphic function on X \ P, where X := E x V ∪ U x F with U ⊂ ℂn and V ⊂ ℂm are domains, E ⊂ U and F ⊂ V are locally pluriregular set, and P is a closed pluripolar set in an open neighborhood W of X,...

  • On involutions with middle-dimensional fixed-point locus and holomorphic-symplectic manifolds. Thompson, George // Annals of Global Analysis & Geometry;Apr2014, Vol. 45 Issue 4, p239 

    Let $$g$$ be an involution of a compact closed manifold $$X$$ such that the fixed-point set $$X^{g}$$ is middle dimensional. Under the assumption that the normal bundle of the fixed-point set is either the tangent or co-tangent bundle conditions on the equivariant invariants of $$X$$ arise. In...

  • The notion of subordination in fuzzy sets theory. Oros, Georgia Irina; Oros, Gheorghe // General Mathematics;2011, Vol. 19 Issue 4, p97 

    In this paper we extend the notion of subordination from the geometric theory of analytic functions of one complex variable to the fuzzy sets theory. The purpose of this paper is to define the notion of fuzzy subordination and to prove the main properties of this notion. We also introduce the...

  • On Kazhdan's Property (T) for the special linear group of holomorphic functions. Ivarsson, Björn; Kutzschebauch, Frank // Bulletin of the Belgian Mathematical Society - Simon Stevin;2014, Vol. 21 Issue 1, p185 

    We investigate when the group SLn(O(X)) of holomorphic maps from a Stein space X to SLn(C) has Kazhdan's property (T) for n ≥ 3. This provides a new class of examples of non-locally compact groups having Kazhdan's property (T). In particular we prove that the holomorphic loop group of...

  • An Infinite Family of 2-Groups with Mixed Beauville Structures. Barker, Nathan; Boston, Nigel; Peyerimhoff, Norbert; Vdovina, Alina // IMRN: International Mathematics Research Notices;2015, Vol. 2015 Issue 11, p3598 

    We construct an infinite family of triples (Gk,Hk,Tk), where Gk are 2-groups of increasing order, Hk are index 2 subgroups of Gk, and Tk are pairs of generators of Hk. We show that the triples uk=(Gk,Hk,Tk) are mixed Beauville structures if k is not a power of 2. This is the first known infinite...

  • On Fundamental Theorems for Holomorphic Curves on the Annuli. Phuong, H.; Thin, N. // Ukrainian Mathematical Journal;Dec2015, Vol. 67 Issue 7, p1111 

    We prove some fundamental theorems for holomorphic curves on the annuli crossing a finite set of fixed hyperplanes in the general position in â„™( â„‚) with ramification.

  • UNIVERSAL OVERCONVERGENCE AND OSTROWSKI GAPS FOR HOLOMORPHIC FUNCTIONS OF SEVERAL VARIABLES. JARNICKI, MAREK; SICIAK, JÓZEF // Universitatis Iagellonicae Acta Mathematica;2016, Vol. 53, p27 

    We study the universal overconvergence and its relations with Ostrowski gaps for holomorphic functions of several complex variables.

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sign out of this library

Other Topics