Results 1 to 10 of about 4,869 (103)
Geometry of CR-Slant Warped Products in Nearly Kaehler Manifolds
Mathematics, 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×fMθ, where B2=MT×M⊥ is a CR-product of a nearly Kaehler manifold and establish Chen’s inequality ...
Siraj Uddi̇n +2 more
exaly +5 more sources
Generic Riemannian Maps from Nearly Kaehler Manifolds
IOCMA 2023, 2023 In order to generalise semi-invariant Riemannian maps, Sahin first introduced the idea of “Generic Riemannian maps”. We extend the idea of generic Riemannian maps to the case in which the total manifold is a nearly Kaehler manifold. We study the integrability conditions for the horizontal distribution although vertical distribution is always integrable.
Richa Agarwal, Shahid Ali
semanticscholar +4 more sources
Bi-warped Product Submanifolds of Nearly Kaehler Manifolds [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2019 12 ...
Siraj Uddi̇n +2 more
exaly +5 more sources
Hemi-Slant Warped Product Submanifolds of Nearly Kaehler Manifolds [PDF]
Abstract and Applied Analysis, 2014 Hemi-slant warped product submanifolds of nearly Kaehler manifolds are studied and some interesting results are obtained. Moreover, an inequality is established for squared norm of second fundamental form and equality case is also discussed. The results obtained are also true if ambient manifold is replaced by a Kaehler manifold.
Al-Solamy, Falleh R., Khan, Meraj Ali
semanticscholar +5 more sources
Generic Submanifolds of Nearly Kaehler Manifolds with Certain Parallel Canonical Structure. [PDF]
Int Sch Res Notices, 2014 The class of generic submanifold includes all real hypersurfaces, complex submanifolds, totally real submanifolds, and CR-submanifolds. In this paper we initiate the study of generic submanifolds in a nearly Kaehler manifold from differential geometric point of view. Some fundamental results in this paper will be obtained.
Zhu Q, Yang B.
europepmc +5 more sources
CR-WARPED PRODUCT SUBMANIFOLDS OF NEARLY KAEHLER MANIFOLDS [PDF]
Journal of the Korean Mathematical Society, 2009 Summary: As warped product manifolds provide an excellent setting to model space time near black holes or bodies with large gravitational field, the study of these manifolds assumes significance in general. \textit{B.-Y. Chen} [Monatsh. Math. 133, No.~3, 177--195 (2001; Zbl 0996.53044)] initiated the study of CR-warped product submanifolds in a Kähler ...
Falleh R Al-Solamy
exaly +4 more sources
6-dimensional nearly Kaehler manifolds of cohomogeneity one [PDF]
Journal of Geometry and Physics, 2009 We consider 6-dimensional strict nearly Kaehler manifolds acted on by a compact, cohomogeneity one automorphism group G. We classify the compact manifolds of this class up to G-diffeomorphisms.
Agricola +16 more
core +5 more sources
New G2 holonomy cones and exotic nearly Kaehler structures on the 6-sphere and the product of a pair of 3-spheres [PDF]
, 2016 There is a rich theory of so-called (strict) nearly Kaehler manifolds, almost-Hermitian manifolds generalising the famous almost complex structure on the 6-sphere induced by octonionic multiplication.
Foscolo, Lorenzo, Haskins, Mark
core +3 more sources
Hodge theory on nearly Kähler manifolds [PDF]
Geometry & Topology, 2011 Let (M,I, ω, Ω) be a nearly Kaehler 6-manifold, that is, an SU(3)-manifold with the (3,0)-form Ωand the Hermitian form ωwhich satisfies $dω=3λ\ReΩ, d\ImΩ=-2λω^2$, for a non-zero real constant λ. We develop an analogue of Kaehler relations on M, proving several useful identities for various intrinsic Laplacians on M.
M. Verbitsky
openaire +6 more sources
GCR-LIGHTLIKE SUBMANIFOLDS OF INDEFINITE NEARLY KAEHLER MANIFOLDS [PDF]
Bulletin of the Korean Mathematical Society, 2013 We introduce CR, SCR and GCR-lightlike submanifolds of indefinite nearly Kaehler manifolds and obtain their existence in indefinite nearly Kaehler manifolds of constant holomorphic sectional curvature c and of constant type . We also prove characterization theorems on the existence of totally umbilical and minimal GCR-lightlike submanifolds of ...
Sangeet Kumar, Rakesh Kumar
exaly +2 more sources