Sequential inversion of surface wave dispersion curves and geoid anomalies integra...
STUDY OF THE TOTAL ELECTRON CONTENT OVER BRAZILIAN REGION DURING QUIET AND DISTURB...
Inter-technique combination of geodetic solutions in the GNSS-SP network
Full text | |
Author(s): |
Total Authors: 2
|
Affiliation: | [1] Dept Matemat, BR-05508090 Sao Paulo - Brazil
[2] Inst Technol Tralee, Dept Comp & Math, Tralee, County Kerry - Ireland
Total Affiliations: 2
|
Document type: | Journal article |
Source: | JOURNAL OF GEOMETRY AND PHYSICS; v. 82, p. 1-12, AUG 2014. |
Web of Science Citations: | 1 |
Abstract | |
We investigate the geometric properties of marginally trapped surfaces (surfaces which have null mean curvature vector) in the spaces of oriented geodesics of Euclidean 3-space and hyperbolic 3-space, endowed with their canonical neutral Kaehler structures. We prove that every rank one surface in these four manifolds is marginally trapped. In the Euclidean case we show that Lagrangian rotationally symmetric sections are marginally trapped and construct an explicit family of marginally trapped Lagrangian tori. In the hyperbolic case we explore the relationship between marginally trapped and Weingarten surfaces, and construct examples of marginally trapped surfaces with various properties. (C) 2014 Elsevier B.V. All rights reserved. (AU) | |
FAPESP's process: | 10/08669-9 - Normal Congruences and Lagrangian submanifolds in spaces of geodesics |
Grantee: | Nikos Georgiou |
Support Opportunities: | Scholarships in Brazil - Post-Doctoral |