Invariant surfaces in homogenous space Sol with constant curvature - Mathematics > Differential GeometryReport as inadecuate




Invariant surfaces in homogenous space Sol with constant curvature - Mathematics > Differential Geometry - Download this document for free, or read online. Document in PDF available to download.

Abstract: A surface in homogenous space Sol is said to be an invariant surface if it isinvariant under some of the two 1-parameter groups of isometries of the ambientspace whose fix point sets are totally geodesic surfaces. In this work we studyinvariant surfaces that satisfy a certain condition on their curvatures. Weclassify invariant surfaces with constant mean curvature and constant Gaussiancurvature. Also, we characterize invariant surfaces that satisfy a linearWeingarten relation.



Author: Rafael López

Source: https://arxiv.org/



DOWNLOAD PDF




Related documents