12 citations · 15 across the 5 of their papers we have counts for
Showing 1995Show all
2 papers · 1 filter
dg-ga1995★ 1 cited
The First Eigenvalue of -manifolds
Akhil Ranjan, G. Santhanam
Antonio Ros gave a lower bound for the first eigenvalue of of a -manifold in terms of the lower bound on the Ricci curvature and asked what happened w…
dg-ga1995★ 2 cited
A Generalisation of Obata's theorem
Akhil Ranjan, G. Santhanam
In a complete Riemannian manifold if the hessian of a real valued function satisfies some suitable conditions then it restricts the geometry of . In this paper we…