Some Geometric Aspects of the Work of

نویسنده

  • Robert Brooks
چکیده

Let me begin with a personal reminiscence of Lars Ahlfors. My rst contact with him came when he was my undergraduate advisor at Harvard. It was the advisor's job to review and approve the courses that the student had selected. When I entered his ooce and handed him my study card, he looked it over quickly, said \You seem to know what you are doing," and signed the card. This was the only advice I ever got from him. Knowing myself at the time, this was probably the only kind of advice I was likely to accept, and perhaps Ahlfors sensed that. At any rate, it struck me as a good example of how Ahlfors combined a great deal of insight with a minimum of actual work. Years later, at the conference in honor of his 75th birthday, I reminded him of this story. He then asked me, \What was your name again?" When I told him, he responded, \Well, I guess I was right." Ahlfors' attitude towards Riemannian geometry per se seems to have been somewhat mixed. In lecture notes he wrote on quasiconformal mappings in

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Investigating and Analyzing the Geometric proportions of the Works of Qavam al-Din Shirazi Case Study: "Goharshad Mosque in Mashhad and Goharshad Mosque in Herat"

Qavam al-Din Shirazi is one of the prominent architects of the Timurid era who has memorized many works such as the Goharshad Mosque in Mashhad and the Herat Goharshad Mosque. What is considered as an architectural work in the study of a building is the material and physical aspects of the architectural space. Due to the destruction of Heratchr('39')s Goharshad Mosque, one of the ways to unders...

متن کامل

Birkhoff's Theorem from a geometric perspective: A simple example

‎From Hilbert's theorem of zeroes‎, ‎and from Noether's ideal theory‎, ‎Birkhoff derived certain algebraic concepts (as explained by Tholen) that have a dual significance in general toposes‎, ‎similar to their role in the original examples of algebraic geometry‎. ‎I will describe a simple example that illustrates some of the aspects of this relationship‎. The dualization from algebra to geometr...

متن کامل

Some remarks on the arithmetic-geometric index

Using an identity for effective resistances, we find a relationship between the arithmetic-geometric index and the global ciclicity index. Also, with the help of majorization, we find tight upper and lower bounds for the arithmetic-geometric index.

متن کامل

A representation for some groups, a geometric approach

‎In the present paper‎, ‎we are going to use geometric and topological concepts‎, ‎entities and properties of the‎ ‎integral curves of linear vector fields‎, ‎and the theory of differential equations‎, ‎to establish a representation for some groups on $R^{n} (ngeq 1)$‎. ‎Among other things‎, ‎we investigate the surjectivity and faithfulness of the representation‎. At the end‎, ‎we give some app...

متن کامل

A Comparative Study on an Ilkhanid Textile and the Seljuk Pottery

Pottery and textile weaving were two art media during the Seljuk and Ilkhanid periods, which one or sometimes both were considered important according to circumstances. Numerous studies have been carried out on pottery and weaving in the Seljuk period, and in some cases the evidence left over from that time has been reviewed in a comparative method to determine to some extent how these works we...

متن کامل

Using the Geometric Model to Explain the Longitudinal and Cross–Sectional Reflection Behaviors of Acrylic yarns

In the present work the reflection behavior and the color appearance of acrylic yarns, as pile yarns used in carpet and pilled fabrics, are considered along their lengths as well as their cross- sections. Differences between longitudinal and cross-sectional reflection behaviors of yarns are measured in different yarn densities and hues and explained by the geometric model. The results of experi...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1996