0000000000542194

AUTHOR

Farid Tari

showing 3 related works from this author

Surfaces in $\mathbb{R}^4$ and their projections to 3-spaces

2007

PhysicsGeneral MathematicsProceedings of the Royal Society of Edinburgh: Section A Mathematics
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Real and Complex Singularities

2016

In this paper a Minkowski analogue of the Euclidean medial axis of a closed and smooth plane curve is introduced. Its generic local configurations are studied and the types of shocks that occur on these are also determined.

Plane curveMedial axisEuclidean geometryMinkowski spaceMathematics::Metric GeometryGeometryGravitational singularityMathematics
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ASYMPTOTIC CURVES ON SURFACES IN ℝ5

2008

We study asymptotic curves on generically immersed surfaces in ℝ5. We characterize asymptotic directions via the contact of the surface with flat objects (k-planes, k = 1 - 4), give the equation of the asymptotic curves in terms of the coefficients of the second fundamental form and study their generic local configurations.

Surface (mathematics)Asymptotic curveAsymptotic analysisApplied MathematicsGeneral MathematicsSecond fundamental formMathematical analysisGravitational singularityAsymptotic expansionMathematicsCommunications in Contemporary Mathematics
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