Harmonic surfaces in the Cayley plane
نویسندگان
چکیده
منابع مشابه
On the Linear Combinations of Slanted Half-Plane Harmonic Mappings
In this paper, the sufficient conditions for the linear combinations of slanted half-plane harmonic mappings to be univalent and convex in the direction of $(-gamma) $ are studied. Our result improves some recent works. Furthermore, a illustrative example and imagine domains of the linear combinations satisfying the desired conditions are enumerated.
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A catalog record for this book is available from the British Library. Harmonic mappings in the plane / Peter Duren. Includes bibliographical references and index.
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In this paper we give a generalisation of the Radius Rigidity theorem of F.Wilhelm. This is done by showing that if a Riemannian submersion of S15 with 7-dimensional fibres has at least one fibre which is a great sphere then all the fibres are so. Some weaker than known conditions which force the existence of such a fibre are also discussed.
متن کاملHarmonic mapping problem in the plane
This article is an expanded version of lectures given by the first author at the International Workshop on Harmonic and Quasiconformal Mappings (Chennai, August 2010). They are based on several papers written by Tadeusz Iwaniec and the authors, some of which are also joint with Ngin-Tee Koh.
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2020
ISSN: 0024-6107,1469-7750
DOI: 10.1112/jlms.12376