Parallel and totally geodesic hypersurfaces of non‐reductive homogeneous four‐manifolds
Mathematische Nachrichten, 2020 Giovanni Calvaruso +2 more
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A Practical Criterion For Some Submanifolds To Be Totally Geodesic
Monatshefte für Mathematik, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Young Ho Kim, Sadahiro Maeda
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Correction to “Totally geodesic Einstein spaces” [PDF]
Bulletin of the American Mathematical Society, 1942 Aaron Fialkow
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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
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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
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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
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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
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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
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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.
Kycia, Radosław A., Ułan, Maria
openaire +2 more sources