منابع مشابه
Equivalent curves in surfaces
for every hyperbolic structure X on S (see [15] and [25]). The proof involves writing down words in the fundamental group which are not conjugate, but because of certain trace relations, they have the same trace squared with respect to every representation into PSL2(R) (see Section 3). The hyperbolic metrics are of course very special, and it seems reasonable that if γ and γ are as above, there...
متن کاملDerived Equivalent Conjugate K3 Surfaces
We show that there exist a complex projective K3 surface X and an automorphism σ ∈ Aut(C) such that the conjugate K3 surface X is a non-isomorphic Fourier Mukai partner of X.
متن کاملInteractive Curves and Surfaces
The emergence of visual programming and processing environments and the raw power of computers now makes it possible to present technical subjects with interactive involvement of the student. We report on a development that is the analogy of a science laboratory for geometry. The result is an electronic book which contains text navigation facilities, supplementary menu driven modes, and in part...
متن کاملTransforming Curves on Surfaces
We describe an optimal algorithm to decide if one closed curve on a triangulated 2-manifold can be continuously transformed to another, i.e., if they are homotopic. Suppose C 1 and C 2 are two closed curves on a surface M of genus g. Further, suppose T is a triangulation of M of size n such that C 1 and C 2 are represented as edge-vertex sequences of lengths k 1 and k 2 in T , respectively. The...
متن کاملIntegrable Curves and Surfaces
The connection of curves and surfaces in R3 to some nonlinear partial differential equations is very well known in differential geometry [1], [2]. Motion of curves on two dimensional surfaces in differential geometry lead to some integrable nonlinear differential equations such as nonlinear Schrödinger (NLS) equation [3], Korteweg de Vries (KdV) and modified Korteweg de Vries (mKdV) equations [...
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: 2003
ISSN: 0046-5755
DOI: 10.1023/b:geom.0000006579.44245.92