On supersoluble groups acting on Klein surfaces.
Grzegorz Gromadzki (1990)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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Grzegorz Gromadzki (1990)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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Arés Gastesi, Pablo (1999)
Annales Academiae Scientiarum Fennicae. Mathematica
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M. A. Magid (2004)
Annales Polonici Mathematici
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Lorentzian surfaces in Lorentz three-space are studied using an indefinite version of the quaternions. A classification theorem for Bonnet pairs in Lorentz three-space is obtained.
Udo Simon, Konrad Voss, Luc Vrancken, Martin Wiehe (2002)
Banach Center Publications
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We investigate pairs of surfaces in Euclidean 3-space with the same Weingarten operator in case that one surface is given as surface of revolution. Our local and global results complement global results on ovaloids of revolution from S-V-W-W.
Grzegorz Gromadzki (2000)
Revista Matemática Iberoamericana
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We prove that k (k ≥ 9) non-conjugate symmetries of a Riemann surface of genus g have at most 2g - 2 + 2(9 - k) ovals in total, where r is the smallest positive integer for which k ≤ 2. Furthermore we prove that for arbitrary k ≥ 9 this bound is sharp for infinitely many values of g.
Adnan Melekoglu (2000)
Revista Matemática Complutense
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Let X be a compact Riemmann surface of genus g > 1. A symmetry T of X is an anticonformal involution. The fixed point set of T is a disjoint union of simple closed curves, each of which is called a mirror of T. If T fixes g +1 mirrors then it is called an M-symmetry and X is called an M-surface. If X admits an automorphism of order g + 1 which cyclically permutes the mirrors of T then we shall call X an M-surface with the M-property. In this paper we investigate those M-surfaces...
Robert Brooks (1998-1999)
Séminaire de théorie spectrale et géométrie
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Costa, Antonio F., Izquierdo, Milagros (2002)
Annales Academiae Scientiarum Fennicae. Mathematica
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Ewa Tyszkowska (2005)
Colloquium Mathematicae
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A compact Riemann surface X of genus g > 1 is said to be p-hyperelliptic if X admits a conformal involution ϱ, called a p-hyperelliptic involution, for which X/ϱ is an orbifold of genus p. If in addition X admits a q-hypereliptic involution then we say that X is pq-hyperelliptic. We give a necessary and sufficient condition on p,q and g for existence of a pq-hyperelliptic Riemann surface of genus g. Moreover we give some conditions under which p- and q-hyperelliptic involutions of...
M. P. Dussan, M. Magid (2010)
Annales Polonici Mathematici
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We characterize the Christoffel pairs of timelike isothermic surfaces in the four-dimensional split-quaternions. When restricting the receiving space to the three-dimensional imaginary split-quaternions, we establish an equivalent condition for a timelike surface in ℝ³₂ to be real or complex isothermic in terms of the existence of integrating factors.
I. Barza, D. Ghisa, Stere Ianus (1998)
Publications de l'Institut Mathématique
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Bujalance, E., Costa, A.F., Gamboa, J.M., Riera, G. (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
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Georgi Ganchev, Vesselka Mihova (2013)
Open Mathematics
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On any space-like Weingarten surface in the three-dimensional Minkowski space we introduce locally natural principal parameters and prove that such a surface is determined uniquely up to motion by a special invariant function, which satisfies a natural non-linear partial differential equation. This result can be interpreted as a solution to the Lund-Regge reduction problem for space-like Weingarten surfaces in Minkowski space. We apply this theory to linear fractional space-like Weingarten...
G. Gromadzki, W. Marzantowicz (2011)
Fundamenta Mathematicae
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It is a natural question what is the set of minimal periods of a holomorphic maps on a Riemann surface of negative Euler characteristic. Sierakowski studied ordinary holomorphic periods on classical Riemann surfaces. Here we study orientation reversing automorphisms acting on classical Riemann surfaces, and also automorphisms of non-orientable unbordered Klein surfaces to which, following Singerman, we shall refer to as non-orientable Riemann surfaces. We get a complete set of conditions...
Daniel Ying (2005)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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Allan L. Edmonds (2008)
Fundamenta Mathematicae
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Those maps of a closed surface to the three-dimensional torus that are homotopic to embeddings are characterized. Particular attention is paid to the more involved case when the surface is nonorientable.