Results 1 to 10 of about 777 (268)
Planar Pseudo-geodesics and Totally Umbilic Submanifolds. [PDF]
J Geom Anal, 2023 AbstractWe study totally umbilic isometric immersions between Riemannian manifolds. First, we provide a novel characterization of the totally umbilic isometric immersions with parallel normalized mean curvature vector, i.e., those having nonzero mean curvature vector and such that the unit vector in the direction of the mean curvature vector is ...
Markvorsen S, Raffaelli M.
europepmc +6 more sources
Arithmeticity, superrigidity, and totally geodesic submanifolds [PDF]
Annals of Mathematics, 2021 Corrected proof of folklore Proposition 3.1 and filled in minor omission in the proof of Lemma 3 ...
Bader, Uri +3 more
openaire +3 more sources
On invariant submanifolds of trans-Sasakian manifolds; pp. 29–37 [PDF]
Proceedings of the Estonian Academy of Sciences, 2012 The object of the present paper is to find necessary and sufficient conditions for invariant submanifolds of trans-Sasakian manifolds to be totally geodesic.
Avijit Sarkar, Matilal Sen
doaj +1 more source
On the geometry of warped product submanifolds of a quasi-hemi Slant submanifold with trans para Sasakian [PDF]
Journal of Hyperstructures, 2023 The existence or non-existence of warped product quasi-hemi slant submanifolds in trans para-sasakian manifolds is defined. Then we obtain that there are no proper warped product quasi-hemi slant submanifolds in trans para-sasakian manifolds such that ...
Sabi Ahmad, Niranjan Kumar Mishra
doaj +1 more source
Rigidity of Complete Minimal Submanifolds in Spheres
Frontiers in Physics, 2020 Let M be an n-dimensional complete minimal submanifold in an (n + p)-dimensional sphere 𝕊n+p, and let h be the second fundamental form of M. In this paper, it is shown that M is totally geodesic if the L2 norm of |h| on any geodesic ball of M is of less ...
Jundong Zhou, Jundong Zhou
doaj +1 more source
Properties of Anti-Invariant Submersions and Some Applications to Number Theory
Mathematics, 2023 In this article, we investigate anti-invariant Riemannian and Lagrangian submersions onto Riemannian manifolds from the Lorentzian para-Sasakian manifold.
Ali H. Hakami, Mohd. Danish Siddiqi
doaj +1 more source
Anti-Invariant Lorentzian Submersions From Lorentzian Concircular Structure Manifolds
Frontiers in Physics, 2022 This research article attempts to investigate anti-invariant Lorentzian submersions and the Lagrangian Lorentzian submersions (LLS) from the Lorentzian concircular structure [in short (LCS)n] manifolds onto semi-Riemannian manifolds with relevant non ...
M. Danish Siddiqi +3 more
doaj +1 more source
H-Umbilical Lagrangian Submanifolds of the Nearly Kähler \( {\mathbb{S}^3\times\mathbb{S}^3} \)
Mathematics, 2020 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 nearly
Miroslava Antić +2 more
doaj +1 more source
Integrability of Geodesics of Totally Geodesic Metrics [PDF]
, 2019 Analysis of the geodesics in the space of signature $(1,3)$ that splits in two-dimensional distributions resulting from the Weyl tensor eignespaces - hyperbolic and elliptic ones - described in [V. Lychagin, V. Yumaguzhin, \emph{Differential invariants and exact solutions of the Einstein equations}, Anal.Math.Phys.
Radosław A. Kycia, Ułan, Maria
openaire +3 more sources
Screen Semi-Invariant Lightlike Hypersurfaces on Hermite-Like Manifolds
Journal of New Theory, 2023 Hermite-like manifolds, which admit two different, almost complex structures, can be considered a general concept of Hermitian manifolds. Factoring in the effects of these two complex structures on the radical, screen, and transversal spaces, a new ...
Ömer Aksu, Mehmet Gülbahar
doaj +1 more source