Results 41 to 50 of about 166 (137)
Submanifolds immersed in a warped product: Rigidity and nonexistence
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Araújo, Jogli G. +2 more
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Multiply Warped Product Generalized Semi-Invariant Submanifolds
We define generalized semi-invariant submanifolds in locally product Riemannian manifolds. Then we study multiply warped product generalized semi-invariant submanifolds in the same structure. We give an existence theorem for such submanifolds. We also give necessary and sufficient conditions for such a submanifold to be a multiply direct product ...
Moctar Traore +2 more
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An Invariant of Riemannian Type for Legendrian Warped Product Submanifolds of Sasakian Space Forms
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
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Geometric Inequalities for Warped Products in Riemannian Manifolds
Warped products are the most natural and fruitful generalization of Riemannian products. Such products play very important roles in differential geometry and in general relativity.
Bang-Yen Chen, Adara M. Blaga
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Notes on submanifolds in warped products
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Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons
Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$‐structures on a 7‐manifold, motivated by the problem of understanding finite‐time singularities of that flow. Here, we focus on solitons with symmetry groups Sp(2)${\rm Sp}(2)$ and SU(3)${\rm SU}(3)$; in both cases, we prove the ...
Mark Haskins, Johannes Nordström
wiley +1 more source
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley +1 more source
Abstract Let (Mn,g)$(M^n,g)$ be a complete Riemannian manifold which is not isometric to Rn$\mathbb {R}^n$, has nonnegative Ricci curvature, Euclidean volume growth, and quadratic Riemann curvature decay. We prove that there exists a set G⊂(0,∞)$\mathcal {G}\subset (0,\infty)$ with density 1 at infinity such that for every V∈G$V\in \mathcal {G}$ there ...
Gioacchino Antonelli +2 more
wiley +1 more source
Geometry of warped product pointwise submanifolds of Sasakian manifolds
Recently, Chen and Uddin introduced and studied warped product pointwise bi-slant submanifolds of K?hler manifolds in [13]. They have obtained many interesting results. In the present paper, we investigate warped product pointwise bi-slant submanifolds in Sasakian manifolds and we derive contact version of results obtain in [13].
Alqahtani, Lamia Saeed +1 more
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Characterization of GCR-lightlike warped product of indefinite Sasakian manifolds
In this paper we prove that there do not exist warped product GCR-lightlike submanifolds in the form M = N⊥ × λNT such that N⊥ is an anti-invariant submanifold tangent to V and NT an invariant submanifold of M‾, other than GCR-lightlike product in an ...
Rakesh Kumar +3 more
doaj +1 more source

