Results 11 to 20 of about 2,551 (283)
Curvature of multiply warped products [PDF]
Journal of Geometry and Physics, 2005 28 pages, corrected typos, to appear in Journal of Geometry and ...
Dobarro, Fernando, Ünal, Bülent
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On doubly warped products [PDF]
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2020 Summary: 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 sufficient condition for a doubly warped product to be a warped or a direct product.
Aydın, Sibel Gerdan +1 more
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WARPED PRODUCTS IN RIEMANNIAN MANIFOLDS [PDF]
Bulletin of the Australian Mathematical Society, 2014 AbstractIn this paper we prove two inequalities relating the warping function to various curvature terms, for warped products isometrically immersed in Riemannian manifolds. This extends work by B. Y. Chen [‘On isometric minimal immersions from warped products into real space forms’, Proc. Edinb. Math. Soc.
Park, K. S.
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DOUBLY WARPED PRODUCTS IN S-SPACE FORMS [PDF]
Romanian 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
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Multiply Warped Products with a Semisymmetric Metric Connection [PDF]
Abstract 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
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Uniqueness of Complete Hypersurfaces in Weighted Riemannian Warped Products [PDF]
Advances 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
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On conformally symmetric warped products [PDF]
Annales 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
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New Bernstein Type Results in Weighted Warped Products [PDF]
Journal 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
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Curvature Estimates for Submanifolds in Warped Products [PDF]
Results in Mathematics, 2011 We give estimates on the intrinsic and the extrinsic curvature of manifolds that are isometrically immersed as cylindrically bounded submanifolds of warped products. We also address extensions of the results in the case of submanifolds of the total space of a Riemannian submersion.
Alías, L. J. +3 more
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On Bernstein’s Problem of Complete Parabolic Hypersurfaces in Warped Products [PDF]
Advances in Mathematical Physics, 2023 We study constant mean curvature hypersurfaces constructed over the fiber Mn of warped products I×fMn. In this setting, assuming that the sign of the angle function does not changed along the hypersurfaces, we infer the uniqueness of such hypersurfaces ...
Ning Zhang, Zhangsheng Zhu
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