S. Helgason, Differential Geometry and Symmetric Spaces (Academic Press, 1962), 486 pp., 89s. 6d.
نویسندگان
چکیده
منابع مشابه
Equilibrium of Gene Frequency Produced by Partial Incompatibility of Offspring with Dam.
6 Hermann, R., "A Poisson kernel for certain homogeneous spaces," Proc. Am. Math. Soc., 12, 892-899 (1961). 7Segal, I. E., "A class of operator algebras determined by groups," Duke Math. J., 18, 221-265 (1951). 8 Inonu, E., and E. Wigner, "On the contraction of Lie groups and their representations," these PROCEEDINGS, 39, 510-524 (1953). 9 Saletan, E., "Contraction of Lie groups," J. Math. Phys...
متن کاملGeometry Of Weakly Symmetric Spaces
Weakly symmetric spaces are particular Riemannian homogeneous spaces which have been introduced by Selberg [21] in 1956 in the framework of his trace formula. They attracted only little interest until the author and Vanhecke [7] found a simple geometric characterization of weakly symmetric spaces which lead to a large number of new examples. The purpose of this note is to present a survey about...
متن کاملThe Geometry of -adic Symmetric Spaces
1120 NOTICES OF THE AMS VOLUME 42, NUMBER 10 M any of the geometric objects of interest to number theorists arise as quotients of classical symmetric spaces by discrete subgroups of Lie groups. For example, the Riemann surfaces known as “modular curves”, which play a central role in Wiles’s proof of Fermat’s Last Theorem, are the quotients of the upper half plane by certain arithmetically defin...
متن کاملDifferential Geometry, Lie Groups and Symmetric Spaces over General Base Fields and Rings
The aim of this work is to lay the foundations of differential geometry and Lie theory over the general class of topological base fields and -rings for which a differential calculus has been developed in [BGN04], without any restriction on the dimension or on the characteristic. Two basic features distinguish our approach from the classical real (finite or infinite dimensional) theory, namely t...
متن کاملA Fatou-type Theorem for Harmonic Functions on Symmetric Spaces1 by S. Helgason and A. Koranyi
1. Introduction. The result to be proved in this article is that if u is a bounded harmonic function on a symmetric space X and x 0 any point in X then u has a limit along almost every geodesic in X starting at x 0 (Theorem 2.3). In the case when X is the unit disk with the non-Euclidean metric this result reduces to the classical Fatou theorem (for radial limits). When specialized to this case...
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 Edinburgh Mathematical Society
سال: 1964
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500026018