A. Upadhyay

activity

20162022

most citedOn the geometry of almost Golden Riemannian manifolds

25 citations · 27 across the 9 of their papers we have counts for

collaborators

Showing 2017Show all

4 papers · 1 filter

math.DG2017

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…

math.DG2017★ 25 cited

On the geometry of almost Golden Riemannian manifolds

Fernando Etayo, Rafael Santamaría, Abhitosh Upadhyay

An almost Golden Riemannian structure $(φ, g)$ on a manifold is given by a tensor field $φ$ of type (1,1) satisfying the Golden section relation $φ^{2} = φ + 1$ , and a pure Riemannian m…

math.DG2017

Biconservative submanifolds in $S^{n} \times R$ and $H^{n} \times R$

Fernando Manfio, Nurettin Cenk Turgay, Abhitosh Upadhyay

In this paper, we study biconservative submanifolds in $S^{n} \times R$ and $H^{n} \times R$ with parallel mean curvature vector field and co-dime…

math.DG2017

On biconservative hypersurfaces in 4-dimensional Riemannian space forms

Nurettin Cenk Turgay, Abhitosh Upadhyay

In this paper, we study biconservative hypersurfaces in $S^{n}$ and $H^{n}$ . Further, we obtain complete explicit classification of biconservative hypersurfaces in…

Isometric immersions into manifolds with metallic structures

On the geometry of almost Golden Riemannian manifolds

Biconservative submanifolds in Sn×R and Hn×R

On biconservative hypersurfaces in 4-dimensional Riemannian space forms

Biconservative submanifolds in $S^{n} \times R$ and $H^{n} \times R$