25 citations · 27 across the 9 of their papers we have counts for
11 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…
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…
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…
On the geometry of almost Golden Riemannian manifolds
Fernando Etayo, Rafael Santamaría, Abhitosh Upadhyay
An almost Golden Riemannian structure on a manifold is given by a tensor field of type (1,1) satisfying the Golden section relation , and a pure Riemannian m…
Biconservative submanifolds in and
Fernando Manfio, Nurettin Cenk Turgay, Abhitosh Upadhyay
In this paper, we study biconservative submanifolds in and with parallel mean curvature vector field and co-dime…
On biconservative hypersurfaces in 4-dimensional Riemannian space forms
Nurettin Cenk Turgay, Abhitosh Upadhyay
In this paper, we study biconservative hypersurfaces in and . Further, we obtain complete explicit classification of biconservative hypersurfaces in…
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-…
Biharmonic submanifolds of generalized space forms
Julien Roth, Abhitosh Upadhyay
We consider biharmonic submanifolds in both generalized complex and Sasakian space forms. After giving the biharmonicity conditions for submanifolds in these spaces, we study diffe…
A Classification of Biconservative Hypersurfaces in a Pseudo-Euclidean Space
Abhitosh Upadhyay, Nurettin Cenk Turgay
In this paper, we study biconservative hypersurfaces of index 2 in . We give the complete classification of biconservative hypersurfaces with diagonalizable shap…