On the Developable Mannheim Offsets of Spacelike Ruled Surfaces
Mehmet \"Onder, H. Huseyin U\u{g}urlu
TL;DR
This paper investigates the properties of Mannheim offsets of spacelike ruled surfaces in Minkowski 3-space, focusing on their developability conditions and geometric classifications.
Contribution
It introduces the concept of Mannheim offsets for spacelike ruled surfaces and establishes conditions under which these offsets are developable surfaces.
Findings
Derived conditions for developability of Mannheim offsets
Classified spacelike ruled surfaces into timelike and spacelike types
Provided geometric criteria for offset surface properties
Abstract
In this paper, using the classifications of timelike and spacelike ruled surfaces, we define and study the Mannheim offsets of spacelike ruled surfaces in Minkowski 3-space. We give the conditions for spacelike offset surfaces to be developable.
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