Vishesh Bhat

5 Questions 7 Answers 0 Followers

Questions related from Vishesh Bhat

What is the motivation for the term "Geodesic Spray"?

In the context of Riemannian Geometry, the term Geodesic spray is a vector field X on the tangent bundle TM of a Hypersurface M that acts on a vector field V on M as X(V) = -N, where S is the...

04 March 2014 7,366 5 View

Is there a generic term for "ruled surface" occurring as submanifolds of General Riemannian Manifolds?

A common definition for a ruled surface is that it can always be described (at least locally) as the set of points swept by a moving straight line, like a cone or cylinder. Is there an analogous...

14 January 2014 6,148 13 View

Are there still any open, interesting questions on curves in 3-D Euclidean space or even 3-D Riemannian Manifolds?

For example, paired curves which have coinciding normals or tangent and normal like Bertrand and Mannheim mates are seemingly interesting. Is it possible that a further study would yield some...

23 October 2013 6,222 11 View

Riemannian Manifold using Riemannian Metric - can anyone help?

The essential feature of a Riemannian Manifold is that it has available a Riemannian Metric Tensor that is defined using an affine connection. The Metric tensor emulates the properties of an inner...

01 October 2013 9,820 6 View

What is the idea behind the definition of an exponential map on a manifold?

Given a Riemannian Manifold, the exponential map at a point is a function acting on a vector in the tangent space at that point defined using a constant speed geodesic originating at that point...

26 September 2013 899 4 View