Results 81 to 90 of about 1,961,451 (191)

On Compact Shimura Surfaces [PDF]

open access: yesarXiv, 2002
We study surfaces constructed from groups of units in quaternion orders $\Lambda$ over the integers in real quadratic fields k. A short presentation of some general theory of such surfaces is given, in particular, we construct certain ``modular curves'' on the surfaces and examine their properties.
arxiv  

Darboux Slant Ruled Surfaces [PDF]

open access: yesAzerbaijan Journal of Mathematics, 5(1) (2015) 64--72, 2013
In this study, we introduce Darboux slant ruled surfaces in the Euclidean 3-space which is defined by the property that the Darboux vector of orthonormel frame of ruled surface makes a constant angle with a fixed, non-zero direction. We obtain the characterizations of Darboux slant ruled surfaces regarding the conical curvature kappa and give the ...
arxiv  

Equidistribution des horocycles d'une surface géométriquement finie [PDF]

open access: yesarXiv, 2003
In this work, we show equidistribution properties for the horocycles of a geometrically finite surface with variable negative curvature. If the surface is hyperbolic, we deduce an equidistribution result for the orbits of the horocyclic flow, when the surface has infinite volume.
arxiv  

Biconservative surfaces [PDF]

open access: yesarXiv, 2014
In this work we obtain some geometric properties of biconservative surfaces into a Riemannian manifold. In particular, we shall study the relationship between biconservative surfaces and the holomorphicity of a generalized Hopf function. Also, we give a complete classification of CMC biconservative surfaces in a $4$-dimensional space form.
arxiv  

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