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Higher codimensional Euclidean helix submanifolds

Higher codimensional Euclidean helix submanifolds

A submanifold of Rn whose tangent space makes constant angle with a fixed direction d is called a helix. Helix submanifolds are related with the eikonal PDE equation. We give a method to find every solution to the eikonal PDE on a Riemannian manifold locally. As a consequence we give …