23 citations · 100 across the 29 of their papers we have counts for
31 papers
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…
Spinorial representation of submanifolds in a product of space forms
Alicia Basilio, Pierre Bayard, Marie-Amélie Lawn +1
We present a method giving a spinorial characterization of an immersion in a product of spaces of constant curvature. As a first application we obtain a proof using spinors of the…
Characterization of hypersurfaces in four dimensional product spaces via two different Spin structures
Roger Nakad, Julien Roth
The Riemannian product , where denotes the -dimensional space form of constant sectional curvature $c_i \in \mathbb…
Isometric immersions into manifolds with metallic structures
Julien Roth, Abhitosh Upadhyay
We consider submanifolds into Riemannian manifold with metallic structures. We obtain some new results for hypersurfaces in these spaces and we express the fundamental theorem of s…