On Timelike Tubular Weingarten Surfaces in Minkowski 3-Space

TL;DR

This paper investigates specific classes of timelike tubular Weingarten surfaces in Minkowski 3-space, deriving conditions relating their second Gaussian curvature, Gaussian curvature, and mean curvature.

Contribution

It provides new conditions characterizing timelike tubular Weingarten surfaces based on their curvature properties in Minkowski space.

Findings

Derived conditions for $({K_{II},H})$ surfaces.

Derived conditions for $({K_{II},K})$ surfaces.

Characterized timelike tubular Weingarten surfaces in Minkowski space.

Abstract

In this paper, we study the timelike tubular Weingarten surfaces in 3-dimensional Minkowski space $IR_1^3 $.We have obtained some conditions for being $({K_{II},H})$, $({K_{II},K})$, timelike tubular Weingarten surfaces where are the second Gaussian curvature the Gaussian curvature and the mean curvature, respectively.