Rotational component spaces for infinite-type translation surfaces
نویسندگان
چکیده
منابع مشابه
Ergodicity for Infinite Periodic Translation Surfaces
For a Z-cover M̃ →M of a translation surface, which is a lattice surface, and which admits infinite strips, we prove that almost every direction for the straightline flow is ergodic. This paper is dedicated to Howard Masur whose work is a great source of inspiration for the authors.
متن کاملSome metrics on Teichmüller spaces of surfaces of infinite type
Unlike the case of surfaces of topologically finite type, there are several different Teichmüller spaces that are associated to a surface of topological infinite type. These Teichmüller spaces first depend (set-theoretically) on whether we work in the hyperbolic category or in the conformal category. They also depend, given the choice of a point of view (hyperbolic or conformal), on the choice ...
متن کاملSurfaces Generated by Translation Surfaces of Type 1 in I^1_3
In this paper, we classify surface at a constant distance from the edge of regression on translation surfaces of Type 1 in the three dimensional simply isotropic space I^1_3 satisfying some algebraic equations in terms of the coordinate functions and the Laplacian operators with respect to the first, the second and the third fundamental form of the surface. We also give explicit forms of these ...
متن کاملCoordinate finite type invariant surfaces in Sol spaces
In the present paper, we study surfaces invariant under the 1-parameter subgroup in Sol space $rm Sol_3$. Also, we characterize the surfaces in $rm Sol_3$ whose coordinate functions of an immersion of the surface are eigenfunctions of the Laplacian $Delta$ of the surface.
متن کاملRotational linear Weingarten surfaces of hyperbolic type
A linear Weingarten surface in Euclidean space R 3 is a surface whose mean curvature H and Gaussian curvature K satisfy a relation of the form aH + bK = c, where a, b, c ∈ R. Such a surface is said to be hyperbolic when a + 4bc < 0. In this paper we classify all rotational linear Weingarten surfaces of hyperbolic type. As a consequence, we obtain a family of complete hyperbolic linear Weingarte...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Geometriae Dedicata
سال: 2018
ISSN: 0046-5755,1572-9168
DOI: 10.1007/s10711-018-0381-y