ON MODULI IN CONFORMAL MAPPING
نویسندگان
چکیده
منابع مشابه
On Moduli in Conformal Mapping.
Geometrically, the theorem states that if a variety U/k becomes birationally equivalent to an Abelian variety over the algebraic closure of k, then it is birationally equivalent to an Abelian variety over k. (If k is a field with a discrete valuation, and ir is a prime element, then the curve defined by the equation X" + 7rY" + 7r2Zn = 0, with n = 3, shows that the conclusion of the theorem doe...
متن کاملConformal Symmetry on the Instanton Moduli Space
The conformal symmetry on the instanton moduli space is discussed using the ADHM construction, where a viewpoint of “homogeneous coordinates” for both the spacetime and the moduli space turns out to be useful. An interesting 5-dimensional interpretation of the SU(2) single-instanton is also mentioned.
متن کاملOn conformal moduli of polygonal quadrilaterals
The change of conformal moduli of polygonal quadrilaterals under some geometric transformations is studied. We consider the motion of one vertex when the other vertices remain fixed, the rotation of sides, polarization, symmetrization, and averaging transformation of the quadrilaterals. Some open problems are formulated. 2000 Mathematics Subject Classification. Primary 30C85. Secondary 30C75.
متن کاملRemarks on "some Problems in Conformal Mapping"
1. The present note contains several remarks on an earlier paper by the author [2].1 In Chapter IV, §4, which deals with the question of when we can have equality of modules for a triply-connected domain and a proper subdomain, the last sentence was added in proof. This accounts for the apparent disparity between it and the preceding one. In order to justify this statement we observe first that...
متن کاملBreakthrough in Conformal Mapping
Few analytical techniques are better known to students of applied mathematics than conformal mapping. It is the classical method for solving problems in continuum mechanics, electrostatics, and other fields involving the two-dimensional Laplace and Poisson equations. To employ the method, one needs an explicit mapping function from some standard domain— such as the unit disk or upper half plane...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1955
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.41.3.176