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19962026
most citedEducational data mining and learning analytics: An updated survey

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12 papers · 1 filter

math.DG2024★ 2 cited

Willmore surfaces and Hopf tori in homogeneous 3-manifolds

Alma L. Albujer, Fábio R. dos Santos

Some classification results for closed surfaces in Berger spheres are presented. On the one hand, a Willmore functional for isometrically immersed surfaces into an homogeneous spac…

math.DG2024

On complete trapped submanifolds in globally hyperbolic spacetimes

Alma L. Albujer, Jónatan Herrera, Rafael M. Rubio

The aim of this manuscript is to obtain rigidity and non-existence results for parabolic spacelike submanifolds with causal mean curvature vector field in orthogonally splitted spa…

math.DG2024★ 1 cited

Total mean curvature surfaces in the product space and applications

Alma L. Albujer, Sylvia F. da Silva, Fábio R. dos Santos

The total mean curvature functional for submanifolds into the Riemannian product space is considered and its first variational formula is presented.…

math.DG2022

Critical points of the solution to the surface equation

Alma L. Albujer, Magdalena Caballero

Spacelike surfaces with the same mean curvature in and are locally described as the graph of the solutions to the surface equation, which is…

math.DG2022

On the symmetries of a Kaehler manifold

Alma L. Albujer, Jorge Alcázar, Magdalena Caballero

In this manuscript we study natural symmetries of Kaehler manifolds: constant holomorphic sectional curvature Kaheler manifolds, semisymmetric Kaehler manifolds and holomorphically…

math.DG2019★ 9 cited

On uniqueness of the foliation by comoving observers restspaces of a Generalized Robertson Walker spacetime

José A. S. Pelegrín, Alfonso Romero, Rafael M. Rubio

A characterization of the foliation by spacelike slices of an -dimensional spatially closed Generalized Robertson-Walker spacetime is given by means of studying a natural me…