23 citations · 100 across the 29 of their papers we have counts for
5 papers · 2 filters
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-…
Spinorial representation of submanifolds in metric Lie groups
Pierre Bayard, Julien Roth, Berenice Zavala Jiménez
In this paper we give a spinorial representation of submanifolds of any dimension and codimension into Lie groups equipped with left invariant metrics. As applications, we get a sp…
Complex and Lagrangian surfaces of the complex projective plane via Kählerian Killing Spin spinors
Roger Nakad, Julien Roth
The complex projective space of complex dimension has a Spin structure carrying Kählerian Killing spinors. The restriction of one of these Kählerian Killing…
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…
Spinorial Representation of Submanifolds in Riemannian Space Forms
P. Bayard, M. -A. Lawn, J. Roth
In this paper we give a spinorial representation of submanifolds of any dimension and codimension into Riemannian space forms in terms of the existence of so called generalized Kil…