共查询到20条相似文献,搜索用时 15 毫秒
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Ioannis M. Roussos 《数学学报(英文版)》1999,15(2):269-276
We study the real Bonnet surfaces which accept one unique nontrivial isometry that preserves the mean curvature, in the three-dimensional
Euclidean space. We give a general criterion for these surfaces and use it to determine the tangential developable surfaces
of this kind. They are determined implicitly by elliptic integrals of the third kind. Only the tangential developable surfaces
of circular helices are explicit examples for which we completely determine the above unique nontrivial isometry.
Dedication Dedicated to Siuping Ho for all her invaluable support and encouragement. 相似文献
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Let V ∪SW be a Heegaard splitting of M,such that αM = α-W = F1 ∪ F2 and g(S) = 2g(F1)= 2g(F2). Let V * ∪S*W * be the self-amalgamation of V ∪SW. We show if d(S) 3 then S* is not a topologically minimal surface. 相似文献
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Rick Miranda 《Advances in Mathematics》2005,198(2):439-447
We present a construction of the bielliptic surfaces as covers of certain rational elliptic surfaces. 相似文献
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This paper proposes a new geometric construction of Enriques surfaces. Its starting point are K3 surfaces with Jacobian elliptic fibration which arise from rational elliptic surfaces by a quadratic base change. The Enriques surfaces obtained in this way are characterised by elliptic fibrations with a rational curve as bisection which splits into two sections on the covering K3 surface. The construction has applications to the study of Enriques surfaces with specific automorphisms. It also allows us to answer a question of Beauville about Enriques surfaces whose Brauer groups show an exceptional behaviour. In a forthcoming paper, we will study arithmetic consequences of our construction. 相似文献
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Claude Tricot 《Constructive Approximation》1989,5(1):117-136
In fractal modeling, porous surfaces in the plane are usually described as the residual setE of a packing by connected open domains \(C_n\) . In the case whereE is nonempty, we investigate the relationships between the dimensionality ofE and the geometry of the complementary sets \(C_n\) . If they satisfy suitable regularity conditions, then the Bouligand dimension ofE is equal to the exponent of convergence of the series ∑(diam \(C_n\) ) α . We give here general conditions to obtain this equality, together with numerous examples and possible ways of developing this theory. 相似文献
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A compact smooth surface of revolution which contains at least two circles through each point is either a sphere or a surface obtained by revolving a circle around a suitable axis.Dedicated to Professor Tadashi Nagano on his 60th birthday 相似文献
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R. Brooks 《Commentarii Mathematici Helvetici》1999,74(1):156-170
If S
O is a Riemann surface with a complete metric of finite area and constant curvature -1, let S
C denote the conformal compactification of S
O. We show that, under the assumption that the cusps of S
O are large, there is a close relationship between the hyperbolic metrics on S
O and S
C. We use this relationship to show that , where the Platonic surface P
k is the conformal compactification of the modular surface S
k.
Received: November, 1996; revised: February, 1998 相似文献
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Since the classical work of Riemann, Plein, Chobe, and Poincaré, in mathematics the interest in the theory of Riemann surfaces and groups has not abated. The present survey covers papers reviewed in RZhMat during the period 1967–1976 primarily in the sections Algebra. Topology. Geometry. The following topics are considered most completely and thoroughly: the topology of Riemann surfaces and their automorphisms, Fuchsian groups, Teichmüller spaces, and spaces of moduli.Translated from Itogi Nauki i Tekhniki, Algebra, Topologiya, Geometriya, Vol. 16, pp. 191–245, 1978, 相似文献
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K. M. Belov 《Mathematical Notes》1969,5(6):429-430
It is established that closed surfaces of genus zero do not permit non-trivial deformation with retention of the mean curvature. There are four items in the Literature Cited.Translated from Matematicheskie Zametki, Vol. 5, No. 6, pp. 719–721, June, 1969. 相似文献
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Rendiconti del Circolo Matematico di Palermo Series 1 - 相似文献