Results 11 to 20 of about 2,813,350 (238)

DOUBLY WARPED PRODUCTS IN S-SPACE FORMS [PDF]

open access: yesRomanian Journal of Mathematics and Computer Science, 2014
Recently, the author established a general inequality for doubly warped products in arbitrary Riemannian manifolds [14]. In the present paper, we obtain a similar inequality for doubly warped products isometrically immersed in S-space forms.
Andreea Olteanu
doaj   +2 more sources

On conformally symmetric warped products

open access: yesAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2004
We prove the necessary and sufficient conditions for a warped product manifold to be conformally symmetric. Basing on these results we give two examples of such warped products.
Marian Hotloś
doaj   +1 more source

Multiply Warped Products with a Semisymmetric Metric Connection [PDF]

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   +2 more sources

Multiply warped products with compact Einstein manifolds [PDF]

open access: yes, 2020
We study multiply warped products with compact Einstein manifolds. We obtain that there does not exist connected, compact Einstein multiply warped products if the scalar curvature is non-positive.
Karaca, Fatma
core   +1 more source

Geometry of warped products [PDF]

open access: yes, 1999
This is a survey on the geometry of warped products, without, or essentially with only soft, calculation. Somewhere in the paper, the goal was to give a synthetic account since existing approaches are rather analytic.
Zeghib, Abdelghani
core   +5 more sources

Affine connections on singular multiply warped products and singular twisted products [PDF]

open access: yes, 2022
In this paper, we generalize the results in [Y. Wang: Affine connections on singular warped products. Int. J. Geom. Methods Mod. Phys. 18(5), 2150076, (2021).] to singular multiply warped products and singular twisted products. We study singular multiply
Wu, Tong, Liu, Siyao, Wang, Yong
core   +1 more source

ON DOUBLY WARPED PRODUCTS

open access: yes, 2020
We give a new characterization for doubly warped products by using the geometry of their canonical foliations intersecting perpendicularly. We also give a necessary and su¢ cient condition for a doubly warped product to be a warped or a direct product.
Taştan, Hakan Mete   +1 more
core   +1 more source

On warped product bi-slant submanifolds of Kenmotsu manifolds [PDF]

open access: yesArab Journal of Mathematical Sciences, 2021
Chen (2001) initiated the study of CR-warped product submanifolds in Kaehler manifolds and established a general inequality between an intrinsic invariant (the warping function) and an extrinsic invariant (second fundamental form).
Siraj Uddin, Ion Mihai, Adela Mihai
doaj   +1 more source

Conformal Metrics to a Product or Doubly Warped Product on S2×S2 and the Hopf Conjecture

open access: yesJournal of Mathematics, 2022
Hopf’s well-known conjecture states that there exists no metric of positive sectional curvature in the product manifold S2×S2. In this paper, we show that the Hopf conjecture is true for conformal metrics to the product metric or doubly warped products ...
Thierno Seck, Athoumane Niang
doaj   +1 more source

Generalized Sasakian space forms with semi-symmetric non-metric connections; pp. 251–257 [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2011
We introduce generalized Sasakian space forms with semi-symmetric non-metric connections. We show the existence of a generalized Sasakian space form with a semi-symmetric non-metric connection and give some examples by warped products endowed with semi ...
Sibel Sular, Cihan Özgür
doaj   +1 more source

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