Marilena Moruz

activity

20142022

most citedClassification of the locally strongly convex centroaffine hypersurfaces with parallel cubic form

23 citations · 75 across the 11 of their papers we have counts for

collaborators

13 papers

math.DG2022

Warped product hypersurfaces in the pseudo-Euclidean space

Marilena Moruz

We study hypersurfaces in the pseudo-Euclidean space $E_{s}^{n + 1}$ , which write as a warped product of a $1$ -dimensional base with an $(n - 1)$ -manifold of constant sectional…

math.DG2021

Ruled Real Hypersurfaces in the Indefinite Complex Projective Space

Marilena Moruz, Miguel Ortega, Juan de Dios Pérez

The main two families of real hypersurfaces in complex space forms are Hopf and ruled. However, very little is known about real hypersurfaces in the indefinite complex projective s…

math.DG2021★ 1 cited

On the extrinsic principal directions and curvatures of Lagrangian submanifolds

Marilena Moruz, Leopold Verstraelen

From the basic geometry of submanifolds will be recalled what are the extrinsic principal tangential directions, (first studied by Camille Jordan in the $18$ seventies), and what ar…

math.DG2020

$H$ -umbilical Lagrangian submanifolds of the nearly Kähler $S^{3} \times S^{3}$

Miroslava Antić, Marilena Moruz, Joeri Van der Veken

$H$ -umbilicity was introduced as an analogue of total umbilicity for Lagrangian submanifolds since, in some relevant cases, totally umbilical Lagrangian submanifolds are automatica…

math.DG2019★ 14 cited

On product minimal Lagrangian submanifolds in complex space forms

Xiuxiu Cheng, Zejun Hu, Marilena Moruz +1

In this paper we consider minimal Lagrangian submanifolds in $n$ -dimensional complex space forms. More precisely, we study such submanifolds which, endowed with the induced metrics…

math.DG2019★ 5 cited

CR submanifolds of the nearly K\" ahler $S^{3} \times S^{3}$ characterised by properties of the almost product structure

Miroslava Anti\' c, Nataša Djurdjevi\' c, Marilena Moruz

In a previous paper, the authors together with L. Vrancken initiated the study of $3$ -dimensional CR submanifolds of the nearly K\" ahler homogeneous $\mathbb S^3\times \mathbb S^3…

math.DG2019★ 2 cited

Lagrangian warped product immersions in $S^{6}$

Marilena Moruz

We study Lagrangian immersions in the nearly Kähler $S^{6}$ which are warped product manifolds of a $1$ -dimensional base and a surface. Apart from the totally geodesic ones,…

math.DG2019★ 7 cited

Geodesic lines in Nearly Kähler S^3\timesS^3

Miloš Djorić, Mirjana Djorić, Marilena Moruz

A nearly Kähler manifold is an almost Hermitian manifold with the weakened Kähler condition, that is, instead of being zero, the covariant derivative of the almost complex structur…

math.DG2018★ 21 cited

On product affine hyperspheres in $R^{n + 1}$

Xiuxiu Cheng, Zejun Hu, Marilena Moruz +1

In this paper, we study locally strongly convex affine hyperspheres in the unimodular affine space $R^{n + 1}$ which, as Riemannian manifolds, are locally isometric to the R…

math.DG2017★ 23 cited

Classification of the locally strongly convex centroaffine hypersurfaces with parallel cubic form

Xiuxiu Cheng, Zejun Hu, Marilena Moruz

In this paper, we study locally strongly convex centroaffine hypersurfaces with parallel cubic form with respect to the Levi-Civita connection of the centroaffine metric. As the ma…

math.DG2016★ 1 cited

Lagrangian submanifolds of the nearly Kähler $S^{3} \times S^{3}$ from minimal surfaces in $S^{3}$

Burcu Bektas, Marilena Moruz, Joeri Van der Veken +1

We study non-totally geodesic Lagrangian submanifolds of the nearly Kähler $S^{3} \times S^{3}$ for which the projection on the first component is nowhere of maximal…

math.DG2016★ 1 cited

Lagrangian Submanifolds with Constant Angle Functions of the nearly Kähler $S^{3} \times S^{3}$

Burcu Bektas, Marilena Moruz, Joeri Van der Veken +1

We study Lagrangian submanifolds of the nearly Kähler $S^{3} \times S^{3}$ with respect to their, so called, angle functions. We show that if all angle functions are co…

math.DG2014

Translation and homothetical surfaces in Euclidean space with constant curvature

Rafael López, Marilena Moruz

We study surfaces in Euclidean space constructed by the sum of two curves or that are graphs of the product of two functions. We consider the problem to determine all these surface…

Warped product hypersurfaces in the pseudo-Euclidean space

Ruled Real Hypersurfaces in the Indefinite Complex Projective Space

On the extrinsic principal directions and curvatures of Lagrangian submanifolds

H-umbilical Lagrangian submanifolds of the nearly Kähler S3×S3

On product minimal Lagrangian submanifolds in complex space forms

CR submanifolds of the nearly K\" ahler S3×S3 characterised by properties of the almost product structure

Lagrangian warped product immersions in S6

Geodesic lines in Nearly Kähler S^3\timesS^3

On product affine hyperspheres in Rn+1

Classification of the locally strongly convex centroaffine hypersurfaces with parallel cubic form

Lagrangian submanifolds of the nearly Kähler S3×S3 from minimal surfaces in S3

Lagrangian Submanifolds with Constant Angle Functions of the nearly Kähler S3×S3

Translation and homothetical surfaces in Euclidean space with constant curvature

$H$ -umbilical Lagrangian submanifolds of the nearly Kähler $S^{3} \times S^{3}$

CR submanifolds of the nearly K\" ahler $S^{3} \times S^{3}$ characterised by properties of the almost product structure

Lagrangian warped product immersions in $S^{6}$

On product affine hyperspheres in $R^{n + 1}$

Lagrangian submanifolds of the nearly Kähler $S^{3} \times S^{3}$ from minimal surfaces in $S^{3}$

Lagrangian Submanifolds with Constant Angle Functions of the nearly Kähler $S^{3} \times S^{3}$