Titlebook: Differential Geometry and Complex Analysis; A Volume Dedicated t Isaac Chavel,Hershel M. Farkas Book 1985 Springer-Verlag Berlin, Heidelber

GUMP

袖章

旁观者

Malte Schmick,Philippe I. H. Bastiaens. of all Kahler metrics in . in that class. To each (.) ∈ G. we assign the non-negative real number . (.. = scalar curvature, ... volume element)..Aiming to find a (.) ∈ ℊ. that minimizes the function ., we study the geometric properties in M of any (.) ∈ ℊ. that is a critical point of ., with the f

GRAIN

Malte Schmick,Philippe I. H. Bastiaensplex case, so that his surfaces are analytic, and the results are different from the real case. After the works of a number of mathematicians, W. C. Graustein took up the real case in 1924-, without completely settling the problem. An authoritative study of this problem was carried out by Elie Carta

Postmenopause

Willem-Jan Pannekoek,Johannes L. Bos., which we call . foliations for short. The leaves of . are locally fibers of Riemannian submersions, and thus everywhere equidistant. Such foliations . will turn out to be either flat or homogeneous. As a global application we obtain that the Hopf fibrations S. → ℂ .. are the only metric fibration

机构

Willem-Jan Pannekoek,Johannes L. Bosthe Möbius transformation .. A lift of an element α ∈ PSL (2, ℂ) is an element A ∈ SL (2, ℂ) with P (A) = α, while a lift of a subgroup . of PSL(2, ℂ) is an isomorphism . SL(2, ℂ) such that P . is the identity.

BYRE

ArfGAPs: Not Only for the Terminationodesics of a (holomorphic) quadratic differential .... of finite norm . on an arbitrary Riemann surface . In the remainder of this section we will briefly recall certain aspects of the geometry associated with these differentials. The theorem is stated in Sect. 2.

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有发明天才

Roger S. Goody,Yaowen Wu,Aymelt Itzening linear leading part) — assuming the boundary is non-characteristic. The lecture notes by C. Zuily [4] give an excellent survey and presentation of many of the recent results, as well as very complete references. Various classes of sufficient conditions have been proved and under certain circumst

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Ran in Nucleocytoplasmic Transportwhich are needed for his proof of the pinching theorem, are fundamental for later developments in Riemannian geometry. His work initiated a systematic research developed by Klingenberg, Berger, Gromoll, Meyer, Cheeger, Gromov, Ruh, Shio-hama, Karcher, etc. This work depends heavily on how a length-m