Zobrazeno 1 - 10
of 260
pro vyhledávání: '"Moruz, A."'
Autor:
Moruz, Marilena
We study hypersurfaces in the pseudo-Euclidean space $\mathbb{E}^{n+1}_s$, which write as a warped product of a $1$-dimensional base with an $(n-1)$-manifold of constant sectional curvature. We show that either they have constant sectional curvature
Externí odkaz:
http://arxiv.org/abs/2208.07726
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 space $\cpn$. In a previous work, Kimura and the second author introduc
Externí odkaz:
http://arxiv.org/abs/2102.10641
Autor:
Moruz, Marilena, Verstraelen, Leopold
Publikováno v:
Mathematics 2020, 8, 1533
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 are the principal first normal directions, (first studied by Kostadin Tr
Externí odkaz:
http://arxiv.org/abs/2101.01153
$H$-umbilicity was introduced as an analogue of total umbilicity for Lagrangian submanifolds since, in some relevant cases, totally umbilical Lagrangian submanifolds are automatically totally geodesic. In this paper, we show that in the homogeneous n
Externí odkaz:
http://arxiv.org/abs/2007.13449
Publikováno v:
The Journal of Geometric Analysis, 2019
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, write as a Riemannian product of two Riemannian manifolds, each havi
Externí odkaz:
http://arxiv.org/abs/1912.05331
Publikováno v:
Mediterr. J. Math. (2018) 15:111
In a previous paper, the authors together with L. Vrancken initiated the study of $3$-dimensional CR submanifolds of the nearly K\" ahler homogeneous $\mathbb S^3\times \mathbb S^3$. As is shown by Butruille this is one of only four homogeneous $6$-d
Externí odkaz:
http://arxiv.org/abs/1911.02920
Autor:
Moruz, Marilena
Publikováno v:
Arch. Math. 113 (2019), 325--336
We study Lagrangian immersions in the nearly K\"ahler $\mathbb{S}^6$ which are warped product manifolds of a $1$-dimensional base and a surface. Apart from the totally geodesic ones, they are either of constant sectional curvature $\frac{1}{16}$ or t
Externí odkaz:
http://arxiv.org/abs/1911.02843
Publikováno v:
J. Math.Anal.Appl.466(2018)1099--1108
A nearly K\"ahler manifold is an almost Hermitian manifold with the weakened K\"ahler condition, that is, instead of being zero, the covariant derivative of the almost complex structure is skew-symmetric. We give the explicit parameterization of geod
Externí odkaz:
http://arxiv.org/abs/1911.02823
Publikováno v:
SCIENCE CHINA Mathematics, 63 (2020), 2055-2078
In this paper, we study locally strongly convex affine hyperspheres in the unimodular affine space $\mathbb{R}^{n+1}$ which, as Riemannian manifolds, are locally isometric to the Riemannian product of two Riemannian manifolds both possessing constant
Externí odkaz:
http://arxiv.org/abs/1812.07901
Publikováno v:
IOP Conference Series: Materials Science & Engineering; 2024, Vol. 1320 Issue 1, p1-7, 7p
