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Null Screen Isoparametric Hypersurfaces in Lorentzian Space Forms
In this paper, we develop the notion of screen isoparametric hypersurface for null hypersurfaces of Robertson–Walker spacetimes. Using this formalism...
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Hopf Real Hypersurfaces in the Indefinite Complex Projective Space
We wish to attack the problems that Anciaux and Panagiotidou posed in (Differ Geom Appl 42:1–14,
https://doi.org/10.1016/j.difgeo.2015.05.004 ... -
The Chern Connection of a \((J^{2}=\pm 1)\)-Metric Manifold of Class \({\mathcal {G}}_{1}\)
The Chern connection was defined in 1946 in the almost Hermitian geometry, and in 2005 in the almost paraHermitian context. In 2017, it was proved...
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Pointwise Slant Lightlike Submanifolds of Indefinite Kaehler Manifolds
We introduce pointwise slant lightlike submanifolds of indefinite Hermitian manifolds and obtain characterization theorems for their existence. We...
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Geometry of warped product lightlike submanifolds of indefinite nearly Kaehler manifolds
The aim of present paper is to study geometry of warped product SCR -lightlike submanifolds of indefinite nearly Kaehler manifolds. We prove the...
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On the Stability and Parabolicity of Complete f-Minimal Hypersurfaces in Weighted Warped Products
Our purpose in this paper is to study the stability and parabolicity of f -minimal hypersurfaces immersed in a weighted warped product of the type
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Complete spacelike submanifolds with parallel mean curvature vector in a semi-Euclidean space
Our aim in this article is to study the geometry of n -dimensional complete spacelike submanifolds immersed in a semi-Euclidean space
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Upper Bounds for the First Eigenvalue of a Jacobi Type Operator Via Anisotropic Mean Curvatures
Our purpose in this article is to obtain sharp upper estimates for the first positive eigenvalue of a Jacobi type operator, which is a suitable...
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Screen conformal lightlike submanifolds of semi-Riemannian manifolds
Since the induced objects on a lightlike submanifold depend on its screen distribution which, in general, is not unique and hence we can not use the...
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Strongly Stable Linear Weingarten Hypersurfaces Immersed in the Hyperbolic Space
In this article, we establish the notion of strong stability related to closed linear Weingarten hypersurfaces immersed in the hyperbolic space. In...
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Complete CMC spacelike hypersurfaces immersed in a Lorentzian product space
We use Bochner’s formula jointly with the generalized maximum principle of Omori-Yau and an extension of Liouville’s theorem due to Yau in order to...
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Characterizations of Spacelike Hyperplanes in the Steady State Space via Generalized Maximum Principles
We deal with complete spacelike hypersurfaces immersed in the half of the de Sitter space, which models the so-called steady state space . In this...
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Myers and Hawking Theorems: Geometry for the Limits of the Universe
It is known that the celebrated theorem by Hawking which assures the existence of a Big-Bang under physically motivated hypotheses, uses geometric...
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Invariant Tensors under the Twin Interchange of Norden Metrics on Almost Complex Manifolds
The object of study are almost complex manifolds with a pair of Norden metrics, mutually associated by means of the almost complex structure. More...
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Some Classifications of Biharmonic Lorentzian Hypersurfaces in Minkowski 5-Space
In this paper, we study Lorentzian hypersurfaces in Minkowski 5-space with non-diagonalizable shape operator whose characteristic polynomial is ( t − k ...