Results 21 to 30 of about 612 (101)

Robotic Assay for Drought (RoAD): an automated phenotyping system for brassinosteroid and drought responses

open access: yesThe Plant Journal, Volume 107, Issue 6, Page 1837-1853, September 2021., 2021
Significance Statement RoAD is an automated phenotyping system for assessing brassinosteroid and drought responses in soil‐grown Arabidopsis plants. The system performs daily weighing, watering, and imaging tasks and is capable of accurately measuring morphological and growth‐related traits of Arabidopsis in 3D.
Lirong Xiang   +14 more
wiley   +1 more source

Chen‐Ricci Inequalities with a Quarter Symmetric Connection in Generalized Space Forms

open access: yesAdvances in Mathematical Physics, Volume 2021, Issue 1, 2021., 2021
In this article, we obtain improved Chen‐Ricci inequalities for submanifolds of generalized space forms with quarter‐symmetric metric connection, with the help of which we completely characterized the Lagrangian submanifold in generalized complex space form and a Legendrian submanifold in a generalized Sasakian space form.
Ali H. Al-Khaldi   +4 more
wiley   +1 more source

Characterization of Skew CR‐Warped Product Submanifolds in Complex Space Forms via Differential Equations

open access: yesMathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021
Recently, we have obtained Ricci curvature inequalities for skew CR‐warped product submanifolds in the framework of complex space form. By the application of Bochner’s formula on these inequalities, we show that, under certain conditions, the base of these submanifolds is isometric to the Euclidean space.
Ibrahim Al-Dayel   +2 more
wiley   +1 more source

TOTALLY UMBILICAL CR-SUBMANIFOLDS OF A NEARLY KAEHLER MANIFOLD

open access: yesTamkang Journal of Mathematics, 1996
The geometry of a CR-submanifold in a Kaehler manifold has been extensively studied. B.Y . Chen has classified the totally umbilical CR-submanifolds of a Kaehler manifold and showed that they are either totally geodesic, or totally real or dim$(D^{\perp}) =1$. In this paper we show that such a result is also true in a nearly Kaehler manifold.
Kon, S. H., Tan, Sin-Leng
openaire   +3 more sources

Some Eigenvalues Estimate for the ϕ‐Laplace Operator on Slant Submanifolds of Sasakian Space Forms

open access: yesJournal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
This paper is aimed at establishing new upper bounds for the first positive eigenvalue of the ϕ‐Laplacian operator on Riemannian manifolds in terms of mean curvature and constant sectional curvature. The first eigenvalue for the ϕ‐Laplacian operator on closed oriented m‐dimensional slant submanifolds in a Sasakian space form M~21k+ε is estimated in ...
Yanlin Li   +5 more
wiley   +1 more source

Hodge theory on nearly Kähler manifolds [PDF]

open access: yesGeometry & 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.
openaire   +4 more sources

Semi-invariant Riemannian submersions from nearly Kaehler manifolds [PDF]

open access: yesInternational Journal of Geometric Methods in Modern Physics, 2020
We study semi-invariant Riemannian submersions from a nearly Kaehler manifold to a Riemannian manifold. It is well known that the vertical distribution of a Riemannian submersion is always integrable therefore, we derive condition for the integrability of horizontal distribution of a semi-invariant Riemannian submersion and also investigate the ...
Rupali Kaushal   +3 more
openaire   +1 more source

New G2 holonomy cones and exotic nearly Kaehler structures on the 6-sphere and the product of a pair of 3-spheres

open access: yes, 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   +1 more source

A connection with parallel totally skew-symmetric torsion on a class of almost hypercomplex manifolds with Hermitian and anti-Hermitian metrics

open access: yes, 2010
The subject of investigations are the almost hypercomplex manifolds with Hermitian and anti-Hermitian (Norden) metrics. A linear connection D is introduced such that the structure of these manifolds is parallel with respect to D and its torsion is ...
Alekseevsky D. V.   +14 more
core   +1 more source

Warped Product Pointwise Hemi-Slant Submanifolds of Nearly Kaehler Manifolds

open access: yes, 2023
In this paper, we introduce the notion of pointwise hemi-slant submanifolds of nearly Kaehler manifolds. Further, we study their warped products and prove the necessary and sufficient condition that a pointwise hemi-slant submanifold to be a warped product manifold.
Lamia Saeed Alqahtani   +2 more
openaire   +1 more source

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