A Remark on a Theorem by Kodama and Shimizu
نویسنده
چکیده
We prove a characterization theorem for the unit polydisc ∆ ⊂ C in the spirit of a recent result due to Kodama and Shimizu. We show that if M is a connected n-dimensional complex manifold such that (i) the group Aut(M) of holomorphic automorphisms of M acts on M with compact isotropy subgroups, and (ii) Aut(M) and Aut(∆) are isomorphic as topological groups equipped with the compact-open topology, then M is holomorphically equivalent to ∆.
منابع مشابه
A short remark on the result of Jozsef Sandor
It is pointed out that, one of the results in the recently published article, ’On the Iyengar-Madhava Rao-Nanjundiah inequality and it’s hyperbolic version’ [3] by J´ozsef S´andor is logically incorrect and new corrected result with it’s proof is presented.
متن کاملمقایسه تاثیر مهارت ارتباط با بیماران روانی به روش Wilkinson و Shimizu و سنتی بر افکار اضطرابی دانشجویان پرستاری
Background & Aims : The process of communicating with psychiatric patients by nursing students can indicate the extent of their social interaction in the future . Since communicating with these patients is more difficult than others and is often associated with anxiety , the present study was designed to determine the effect of communication skill with psychiatric patients using Wilkinson- Sh...
متن کاملA remark on Remainders of homogeneous spaces in some compactifications
We prove that a remainder $Y$ of a non-locally compact rectifiable space $X$ is locally a $p$-space if and only if either $X$ is a Lindel"{o}f $p$-space or $X$ is $sigma$-compact, which improves two results by Arhangel'skii. We also show that if a non-locally compact rectifiable space $X$ that is locally paracompact has a remainder $Y$ which has locally a $G_{delta}$-diagonal, then...
متن کاملA remark on the means of the number of divisors
We obtain the asymptotic expansion of the sequence with general term $frac{A_n}{G_n}$, where $A_n$ and $G_n$ are the arithmetic and geometric means of the numbers $d(1),d(2),dots,d(n)$, with $d(n)$ denoting the number of positive divisors of $n$. Also, we obtain some explicit bounds concerning $G_n$ and $frac{A_n}{G_n}$.
متن کامل