Results 41 to 50 of about 2,316 (142)

WARPED PRODUCT SUBMANIFOLDS IN KENMOTSU SPACE FORMS

open access: yesTaiwanese Journal of Mathematics, 2006
Recently, Chen established a general sharp inequality for warped products in real space forms. As applications, he obtained obstructions to minimal isometric immersions of warped products into real space forms. Afterwards, Matsumoto and one of the present authors proved the Sasakian version of this inequality.
Murathan, Cengizhan   +3 more
openaire   +3 more sources

Warped product semi-slant submanifolds in locally conformal Kaehler manifolds II

open access: yesPracì Mìžnarodnogo Geometričnogo Centru, 2018
In 1994 N.~Papaghiuc introduced the notion of semi-slant submanifold in a Hermitian manifold which is a generalization of $CR$- and slant-submanifolds, \cite{MR0353212}, \cite{MR760392}.
Koji Matsumoto
doaj   +1 more source

Cr-warped product submanifolds of Lorentzian manifolds [PDF]

open access: yesMathematica Moravica, 2010
Warped product CR-submanifolds of Lorentzian Sasakian manifolds are investigated. Especially, it is shown that a warped product \(M=N_\bot\times_f N_T\) in a Lorentzian Sasakian manifold is simply a CR-product (\(f\) is constant), where \(N_T\) and \(N_\bot\) are respectively invariant and anti-invariant submanifolds of the Lorentzian Sasakian manifold,
openaire   +2 more sources

Chen optimal inequalities of CR-warped products of generalized Sasakian space form

open access: yesJournal of Taibah University for Science, 2020
Our main objective of this paper is to derive the relationship between the main extrinsic invariant, and the contact CR δ-invariant (new intrinsic invariant) on a generic submanifold in trans-Sasakian generalized Sasakian space forms.
Aliya Naaz Siddiqui   +2 more
doaj   +1 more source

Submanifolds immersed in a warped product: Rigidity and nonexistence

open access: yesProceedings of the American Mathematical Society, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Araújo, Jogli G.   +2 more
openaire   +2 more sources

Characterizing Base in Warped Product Submanifolds of Complex Projective Spaces by Differential Equations

open access: yesMathematics, 2022
In this study, a link between the squared norm of the second fundamental form and the Laplacian of the warping function for a warped product pointwise semi-slant submanifold Mn in a complex projective space is presented.
Ali H. Alkhaldi   +3 more
doaj   +1 more source

Nonlinear Deformation Synthesis via Sparse Principal Geodesic Analysis

open access: yesComputer Graphics Forum, Volume 39, Issue 5, Page 119-132, August 2020., 2020
Abstract This paper introduces the construction of a low‐dimensional nonlinear space capturing the variability of a non‐rigid shape from a data set of example poses. The core of the approach is a Sparse Principal Geodesic Analysis (SPGA) on the Riemannian manifold of discrete shells, in which a pose of a non‐rigid shape is a point.
Josua Sassen   +2 more
wiley   +1 more source

Screen Cauchy–Riemann (SCR)-lightlike submanifolds of metallic semi-Riemannian manifolds [PDF]

open access: yesArab Journal of Mathematical Sciences
PurposeThe screen Cauchy–Riemann (SCR)-lightlike submanifold is an important class of submanifolds of semi-Riemannian manifolds. It contains various other classes of submanifolds as its sub-cases. It has been studied under various ambient space.
Gauree Shanker   +2 more
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

Submanifolds immersed in a warped product with density

open access: yesBulletin of the Belgian Mathematical Society - Simon Stevin, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Araújo, Jogli G.   +3 more
openaire   +3 more sources

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