Results 21 to 30 of about 39,041 (325)

New Bernstein Type Results in Weighted Warped Products

open access: yesJournal of Mathematics, 2021
In this paper, we obtain new parametric uniqueness results for complete constant weighted mean curvature hypersurfaces under suitable geometric assumptions in weighted warped products.
Ning Zhang
doaj   +1 more source

Statistical Solitons and Inequalities for Statistical Warped Product Submanifolds

open access: yesMathematics, 2019
Warped products play crucial roles in differential geometry, as well as in mathematical physics, especially in general relativity. In this article, first we define and study statistical solitons on Ricci-symmetric statistical warped products R ×
Aliya Naaz Siddiqui   +2 more
doaj   +1 more source

Uniqueness of Complete Hypersurfaces in Weighted Riemannian Warped Products

open access: yesAdvances in Mathematical Physics, 2021
In this paper, applying the weak maximum principle, we obtain the uniqueness results for the hypersurfaces under suitable geometric restrictions on the weighted mean curvature immersed in a weighted Riemannian warped product I×ρMfn whose fiber M has f ...
Ning Zhang
doaj   +1 more source

Ricci curvature bounds for warped products [PDF]

open access: yes, 2013
We prove generalized lower Ricci curvature bounds for warped products over complete Finsler manifolds. On the one hand our result covers a theorem of Bacher and Sturm concerning euclidean and spherical cones.
Ketterer, Christian
core   +1 more source

Warped Product Submanifolds of Riemannian Product Manifolds [PDF]

open access: yesAbstract and Applied Analysis, 2012
We study warped product of the type Nθ×fNT and Nθ×fN⊥, where Nθ, NT, and N⊥ are proper slant, invariant, and anti‐invariant submanifolds, respectively, and we prove some basic results and finally obtain some inequalities for squared norm of second fundamental form.
Al-Solamy, Falleh R., Khan, Meraj Ali
openaire   +3 more sources

Reduced $L_{q,p}$-Cohomology of Some Twisted Products [PDF]

open access: yes, 2015
Vanishing results for reduced $L_{p,q}$-cohomology are established in the case of twisted products, which are a~generalization of warped products. Only the case $q \leq p$ is considered.
Gol'dshtein, Vladimir, Kopylov, Yaroslav
core   +3 more sources

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

Geometry of CR-Slant Warped Products in Nearly Kaehler Manifolds

open access: yesMathematics, 2023
Recently, we studied CR-slant warped products B1×fM⊥, where B1=MT×Mθ is the Riemannian product of holomorphic and proper slant submanifolds and M⊥ is a totally real submanifold in a nearly Kaehler manifold. In the continuation, in this paper, we study B2×
Siraj Uddin, Bang-Yen Chen, Rawan Bossly
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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