Results 31 to 40 of about 39,041 (325)

Killing and 2-Killing Vector Fields on Doubly Warped Products

open access: yesMathematics, 2023
We provide a condition for a 2-Killing vector field on a compact Riemannian manifold to be Killing and apply the result to doubly warped product manifolds.
Adara M. Blaga, Cihan Özgür
doaj   +1 more source

About curvature, conformal metrics and warped products [PDF]

open access: yes, 2007
We consider the curvature of a family of warped products of two pseduo-Riemannian manifolds $(B,g_B)$ and $(F,g_F)$ furnished with metrics of the form $c^{2}g_B \oplus w^2 g_F$ and, in particular, of the type $w^{2 \mu}g_B \oplus w^2 g_F$, where $c, w ...
Alama S   +46 more
core   +2 more sources

On Douglas Warped Product Metrics

open access: yesResults in Mathematics, 2022
Corrections on Theorem 2 and ...
openaire   +2 more sources

An Invariant of Riemannian Type for Legendrian Warped Product Submanifolds of Sasakian Space Forms

open access: yesMathematics, 2023
In the present paper, we investigate the geometry and topology of warped product Legendrian submanifolds in Sasakian space forms D2n+1(ϵ) and obtain the first Chen inequality that involves extrinsic invariants like the mean curvature and the length of ...
Fatemah Abdullah Alghamdi   +3 more
doaj   +1 more source

Chen optimal inequalities of CR-warped products of generalized Sasakian space form

open access: yesJournal of Taibah University for Science, 2020
Our main objective of this paper is to derive the relationship between the main extrinsic invariant, and the contact CR δ-invariant (new intrinsic invariant) on a generic submanifold in trans-Sasakian generalized Sasakian space forms.
Aliya Naaz Siddiqui   +2 more
doaj   +1 more source

On quasi-Einstein warped products

open access: yesAnnals of the Alexandru Ioan Cuza University - Mathematics, 2012
We study quasi-Einstein warped product manifolds for arbitrary dimen- sion n 3. Mathematics Subject Classication 2010: 53C25.
Sular, Sibel, Özgür, Cihan
openaire   +3 more sources

Multiply Warped Products with a Semisymmetric Metric Connection

open access: yesAbstract and Applied Analysis, 2014
We study the Einstein multiply warped products with a semisymmetric metric connection and the multiply warped products with a semisymmetric metric connection with constant scalar curvature, and we apply our results to generalized Robertson-Walker space ...
Yong Wang
doaj   +1 more source

Characterizing Base in Warped Product Submanifolds of Complex Projective Spaces by Differential Equations

open access: yesMathematics, 2022
In this study, a link between the squared norm of the second fundamental form and the Laplacian of the warping function for a warped product pointwise semi-slant submanifold Mn in a complex projective space is presented.
Ali H. Alkhaldi   +3 more
doaj   +1 more source

Killing tensors and warped product [PDF]

open access: yesAnnales Polonici Mathematici, 2000
By a Killing tensor one understands a \((1,1)\)-tensor field \(S\) on a Riemannian manifold \((M,g)\) satisfying the conditions \(\langle SX,Y \rangle =\langle X,S Y\rangle\) and \(\langle\nabla S(X,X),X \rangle=0\), for all \(X\) on \(M\). Considering the eigenvalues and the eigendistributions of \(S\), the author gets close relations between certain ...
openaire   +1 more source

Conformal Warped Product Submersion

open access: yes, 2023
9 ...
Kaur, Harmandeep   +2 more
openaire   +2 more sources

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