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Lightlike Hypersurfaces of Meta-Golden Semi-Riemannian Manifolds

open access: yesMathematics, 2023
In this research, we embark on the examination of lightlike hypersurfaces within an almost meta-Golden semi-Riemannian manifold. We investigate the properties of the induced structure on a lightlike hypersurface by meta-Golden semi-Riemannian structure ...
Feyza Esra Erdoğan   +3 more
doaj   +1 more source

Screen Semi-Invariant Lightlike Hypersurfaces on Hermite-Like Manifolds

open access: yesJournal 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

Hypersurfaces of the spherical type degenerated

open access: yesSelecciones Matemáticas, 2020
In this work, we define the hypersurfaces of the spherical type degenerated (in short DST-hypersurfaces), these hypersurfaces has the geometric property that the middle spheres pass through the origin of the Euclidean space.
Armando M. V. Corro   +2 more
doaj   +1 more source

A New Approach to Timelike Hypersurfaces of Constant Ratio in IE14

open access: yesJournal of Mathematics, 2023
In this study, we consider timelike revolution hypersurfaces of constant ratio in Minkowski space-time. At first, we exhibit the representations of revolution hypersurfaces given by three different forms.
Sezgin Büyükkütük
doaj   +1 more source

Concurrent Vector Fields on Lightlike Hypersurfaces

open access: yesMathematics, 2020
Concurrent vector fields lying on lightlike hypersurfaces of a Lorentzian manifold are investigated. Obtained results dealing with concurrent vector fields are discussed for totally umbilical lightlike hypersurfaces and totally geodesic lightlike ...
Erol Kılıç   +2 more
doaj   +1 more source

Transport Theorem for Spaces and Subspaces of Arbitrary Dimensions

open access: yesMathematics, 2020
Using the apparatus of traditional differential geometry, the transport theorem is derived for the general case of a M-dimensional domain moving in a N-dimensional space, M ≤ N .
Jovo P. Jaric   +2 more
doaj   +1 more source

Main Curvatures Identities on Lightlike Hypersurfaces of Statistical Manifolds and Their Characterizations

open access: yesMathematics, 2022
In this study, some identities involving the Riemannian curvature invariants are presented on lightlike hypersurfaces of a statistical manifold in the Lorentzian settings. Several inequalities characterizing lightlike hypersurfaces are obtained.
Oğuzhan Bahadır   +3 more
doaj   +1 more source

The ∗-Ricci Operator on Hopf Real Hypersurfaces in the Complex Quadric

open access: yesMathematics, 2022
We study the ∗-Ricci operator on Hopf real hypersurfaces in the complex quadric. We prove that for Hopf real hypersurfaces in the complex quadric, the ∗-Ricci tensor is symmetric if and only if the unit normal vector field is singular.
Rongsheng Ma, Donghe Pei
doaj   +1 more source

Polarized Rigid Del Pezzo Surfaces in Low Codimension

open access: yesMathematics, 2020
We provide explicit graded constructions of orbifold del Pezzo surfaces with rigid orbifold points of type ki×1ri(1,ai):3≤ri≤10,ki∈Z≥0 as well-formed and quasismooth varieties embedded in some weighted projective space.
Muhammad Imran Qureshi
doaj   +1 more source

On Bernstein’s Problem of Complete Parabolic Hypersurfaces in Warped Products

open access: yesAdvances in Mathematical Physics, 2023
We study constant mean curvature hypersurfaces constructed over the fiber Mn of warped products I×fMn. In this setting, assuming that the sign of the angle function does not changed along the hypersurfaces, we infer the uniqueness of such hypersurfaces ...
Ning Zhang, Zhangsheng Zhu
doaj   +1 more source

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