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20052026
most citedConstant Angle Surfaces in $\H^2\times \R$

54 citations · 283 across the 28 of their papers we have counts for

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Showing 2009Show all

6 papers · 1 filter

math.DG2009

Canonical Coordinates and Principal Directions for Surfaces in $\H^2\times\R$

Franki Dillen, Marian Ioan Munteanu, Ana Irina Nistor

In this paper we characterize and classify surfaces in which have a canonical principal direction. Here denotes the hyperbolic p…

math.DG2009★ 3 cited

Invariant surfaces in homogenous space Sol with constant curvature

Rafael López

A surface in homogenous space Sol is said to be an invariant surface if it is invariant under some of the two 1-parameter groups of isometries of the ambient space whose fix point…

math.DG2009★ 8 cited

Constant Angle Surfaces in a warped product

Franki Dillen, Marian Ioan Munteanu, Joeri Van der Veken +1

Let be an open interval, a strictly positive function and denote by $\E^2$ the Euclidean plane. We classify all surfaces in the warped product manif…

math.DG2009★ 3 cited

Constant angle surfaces in the Heisenberg group

Johan Fastenakels, Marian Ioan Munteanu, Joeri Van der Veken

In this article we generalize the notion of constant angle surfaces in S^2 x R and H^2 x R to general Bianchi-Cartan-Vranceanu spaces, i.e. essentially to three-dimensional homogen…

math.DG2009★ 3 cited

Constant angle surfaces in Minkowski space

Rafael Lopez, Marian Ioan Munteanu

A constant angle surface in Minkowski space is a spacelike surface whose unit normal vector field makes a constant hyperbolic angle with a fixed timelike vector. In this work we st…

math.DG2009★ 27 cited

From Golden Spirals to Constant Slope Surfaces

Marian Ioan Munteanu

In this paper, we find all constant slope surfaces in the Euclidean 3-space, namely those surfaces for which the position vector of a point of the surface makes constant angle with…