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Gradient Solitons on Doubly Warped Product Manifolds

Reports on Mathematical Physics, 2022
Firstly we provide new characterizations for doubly warped product manifolds. Then we consider several types of gradient solitons such as Riemann, Ricci, Yamabe and conformal, and examine the effect of a gradient soliton on a doubly warped product to its
Adara M Blaga
exaly   +2 more sources

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A note on warped products

Journal of Mathematical Analysis and Applications, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Josué Meléndez, Mario Hernández
openaire   +1 more source

A note on warped product submanifolds of Kenmotsu manifolds

Mathematica Slovaca, 2011
Warped product manifolds are known to have applications in Physics. For instance, they provide an excellent setting to model space-time near a black hole or a massive star (cf. [HONG, S. T.: Warped products and black holes, Nuovo Cimento Soc. Ital.
null Siraj-Uddin, Viqar Khan, Khalid Khan   +2 more
exaly   +2 more sources

A curvature condition for a twisted product¶to be a warped product

manuscripta mathematica, 2001
Given two pseudo-Riemannian manifolds \((B, g_B)\) and \((F, g_F)\), the product \(M = B\times F\) can be equipped with a metric \(g_M = f^2g_B \oplus b^2g_F\), where \(f, b:M\to\mathbb R\). Then, \((M, g_M)\) is called a double twisted product. If \(f = 1\), \((M, g_M)\) is just a twisted product.
Fernández-López, M., García-Río, E., Kupeli, D. N., Ünal, B.   +3 more
openaire   +2 more sources

Multiply warped products

Journal of Geometry and Physics, 2000
The author first states covariant derivative formulas for multiply warped products and considers the geodesic equations for these spaces. Then he states some basic facts about causality of Lorentzian multiply products and studies Cauchy surfaces and global hyperbolicity.
openaire   +1 more source

Hypersurfaces in Warped Products

2016
A classical result of Alexandrov [10] states that a compact hypersurface with constant mean curvature embedded in Euclidean space must be a round sphere. The original proof is based on a clever use of the maximum principle for elliptic partial differential equations.
Luis J. Alías, Paolo Mastrolia, Marco Rigoli   +2 more
openaire   +1 more source

A global Kählerian analog of warped product

Siberian Mathematical Journal, 1998
Let \(E \rightarrow B\) be a fibration such that \(E\) and \(B\) are Kähler manifolds, the projection is a conformal submersion, and all fibers are totally geodesic pairwise isomorphic submanifolds. The author proposes to consider such an object as an analog of a warped product for Kähler manifolds.
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Prescribing scalar curvature in warped products

1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
COTI ZELATI, VITTORIO, Fernando Dobarro, Roberta Musina   +2 more
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Warped product of lightlike manifolds

Nonlinear Analysis: Theory, Methods & Applications, 2001
openaire   +2 more sources

Sequential Warped Product Submanifolds of Sasakian Manifolds

Mediterranean Journal of Mathematics, 2023
Selcen Yuksel Perktaş, Adara M Blaga, Blaga Adara M   +2 more
exaly