25 citations · 27 across the 9 of their papers we have counts for
4 papers · 1 filter
A note on starshaped hypersurfaces with almost constant mean curvature in space forms
Julien Roth, Abhitosh Upadhyay
We show that closed starshaped hypersurfaces of space forms with almost constant mean curvature or almost constant higher order mean curvature are closed to geodesic spheres.
On compact embbeded Weingarten hypersurfaces in warped products
Julien Roth, Abhitosh Upadhyay
We show that compact embedded starshaped -convex hypersurfaces of certain warped products satisfying with , , where and are respectively…
Extrinsic eigenvalues upper bounds for submanifolds in weighted manifolds
Fernando Manfio, Julien Roth, Abhitosh Upadhyay
We prove Reilly-type upper bounds for divergence-type operators of the second order as well as for Steklov problems on submanifolds of Riemannian manifolds of bounded sectional cur…
On the relative opers in dimension one
Anoop Singh, Abhitosh Upadhyay
We investigate the relative opers over the complex analytic family of compact complex manifolds of relative dimension one. We introduce the notion of relative opers arising from th…