Journal of the Ramanujan Mathematical Society

Krishna Amur ¹, R. S. Venkataraman ¹

Affiliations
1 Department of Mathematics, Karnatak University, Dharwad-580 003, IN

Abstract

We show that In each odd dimensional Euclidean Space E^{2n + 1} (n ≤1), there is a parametric minimal hypersurface M²ⁿ which for n = 1 is a helicoid in E³ in isothermal parameters. We also show that the parametric equations of M²ⁿ can be recovered from a representation of Weierstrass type. The minimal M²ⁿ admits an n-dimensional foliation and has many other significant geometrical properties.

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