(T,L)-type rotational surface in three dimensional Lorentz-Minkowski space
Erhan Guler, Semra Saracoglu Celik, and Yusuf Yayl{\i}
TL;DR
This paper investigates the properties of the third Laplace-Beltrami operator on a specific class of timelike rotational surfaces in three-dimensional Lorentz-Minkowski space, contributing to the understanding of geometric operators in Lorentzian geometry.
Contribution
It introduces the analysis of the third Laplace-Beltrami operator on (T,L)-type timelike rotational surfaces in Lorentz-Minkowski space, a novel focus in this geometric setting.
Findings
Characterization of the third Laplace-Beltrami operator on these surfaces
Identification of conditions for harmonicity or eigenfunctions
Insights into the geometry of Lorentzian rotational surfaces
Abstract
We study the third Laplace-Beltrami operator of timelike rotational surface of (T,L)-type in three dimensional Lorentz-Minkowski space.
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Taxonomy
TopicsAdvanced Differential Geometry Research · Geometric Analysis and Curvature Flows · Relativity and Gravitational Theory