most citedf-Biharmonic and bi-f-harmonic submanifolds of generalized space forms

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.DG2022

Reilly-type upper bounds for the -Steklov problem on submanifolds

Julien Roth, Abhitosh Upadhyay

We prove Reilly-type upper bounds for the first non-zero eigenvalue of the Steklov problem associated with the -Laplace operator on submanifolds of manifolds with sectional curv…

math.DG2022

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.

math.DG2016★ 2 cited

f-Biharmonic and bi-f-harmonic submanifolds of generalized space forms

Julien Roth, Abhitosh Upadhyay

We study f-biharmonic and bi-f-harmonic submanifolds in both generalized complex and Sasakian space forms. We prove necessary and sufficient condition for f-biharmonicity and bi-f-…