Articles with "circular surfaces" as a keyword



On the curvatures of timelike circular surfaces in Lorentz-Minkowski space

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Published in 2024 at "Filomat"

DOI: 10.2298/fil2404423l

Abstract: In this paper, using the classical methods of differential geometry, wedefine invariants of timelike circular surfaces in Lorentz-Minkowski space R3 1, called curvature functions, and show kinematic meaning of these invariants. Then we discuss the… read more here.

Keywords: circular surfaces; surfaces lorentz; minkowski space; timelike circular ... See more keywords

Timelike Circular Surfaces and Singularities in Minkowski 3-Space

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Published in 2022 at "Symmetry"

DOI: 10.3390/sym14091914

Abstract: The present paper is focused on time-like circular surfaces and singularities in Minkowski 3-space. The timelike circular surface with a constant radius could be swept out by moving a Lorentzian circle with its center while… read more here.

Keywords: timelike circular; surfaces singularities; singularities minkowski; minkowski space ... See more keywords

Spacelike Circular Surfaces in Minkowski 3-Space

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Published in 2023 at "Symmetry"

DOI: 10.3390/sym15010173

Abstract: The approach of the paper is on spacelike circular surfaces in the Minkowski 3-space. A spacelike circular surface is a one-parameter family of Lorentzian circles with a fixed radius regarding a non-null curve, which acts… read more here.

Keywords: minkowski space; spacelike circular; circular surfaces; surfaces minkowski ... See more keywords

Singularity Properties of Spacelike Circular Surfaces

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Published in 2023 at "Symmetry"

DOI: 10.3390/sym15040842

Abstract: The aim of the paper is on spacelike circular surfaces and singularities in Minkowski 3-space E13. A spacelike circular surface with a stationary radius can be swept out by movable a Lorentzian circle following a… read more here.

Keywords: singularity properties; properties spacelike; spacelike circular; circular surface ... See more keywords