On hypersurfaces in a locally affine Riemannian Banach manifold II by El-Said R. Lashin, Tarek F. Mersal

“…In our previous work (2002), we proved that an essential second-order hypersurface in an infinite-dimensional locally affine Riemannian Banach manifold is a Riemannian manifold of constant nonzero curvature. …”
Get full text

Totally umbilical CR-submanifolds of Semi-Riemannian Kaehler manifolds by K. L. Duggal, R. Sharma

Subjects: Get full text

Detecting phase transitions in collective behavior using manifold's curvature by Kelum Gajamannage, Erik M. Bollt

Subjects: Get full text

Invariant manifold of hyperbolic-elliptic type for nonlinear wave equation by Xiaoping Yuan

Get full text

Families of (1,2)-symplectic metrics on full flag manifolds by Marlio Paredes

“…We obtain new families of (1,2)-symplectic invariant metrics on the full complex flag manifolds F(n). For n≥5, we characterize n−3 different n-dimensional families of (1,2)-symplectic invariant metrics on F(n). …”
Get full text

A New Class of Contact Pseudo Framed Manifolds with Applications by K. L. Duggal

“…In 1976, Blair proved that the vector field ξ of a normal contact manifold is Killing. Contrary to this, we have shown in Theorem 2 that, in general, ξ of a normal CPF-manifold is non-Killing. …”
Get full text

Fault Feature Extraction of the Gearbox based on Manifold Learning Algorithm by Ma Weijin, Zhang Lin, Zhang Jiping, Huang Bincheng, Luo Chaoyang

“…The manifold learning algorithm is a method of nonlinear data dimensionality reduction and can get available low dimensional geometry,it is also better reflects the nature of things. …”
Get full text

Invariant Submanifolds of Sasakian Manifolds Admitting Semisymmetric Nonmetric Connection by B. S. Anitha, C. S. Bagewadi

“…The object of this paper is to study invariant submanifolds 𝑀 of Sasakian manifolds 𝑀 admitting a semisymmetric nonmetric connection, and it is shown that M admits semisymmetric nonmetric connection. …”
Get full text

Effect of mutual coupling on spatial correlation for different manifold arrays by Ying YANG, Weidong LI, Cuiwei XUE, Qiuming ZHU, Zhizhong LIAO, Xiaomin CHEN

Subjects: Get full text

Pseudo-Sasakian manifolds endowed with a contact conformal connection by Vladislav V. Goldberg, Radu Rosca

“…Pseudo-Sasakian manifolds M˜(U,ξ,η˜,g˜) endowed with a contact conformal connection are defined. …”
Get full text

Existence and Approximation of Manifolds for the Swift-Hohenberg Equation with a Parameter by Yanfeng Guo, Chunxiao Guo, Donglong Li

“…The existence and approximation of manifolds for the Swift-Hohenberg equation with a proper parameter have mainly been studied. …”
Get full text

Hemi-Slant Warped Product Submanifolds of Nearly Kaehler Manifolds by Falleh R. Al-Solamy, Meraj Ali Khan

“…Hemi-slant warped product submanifolds of nearly Kaehler manifolds are studied and some interesting results are obtained. …”
Get full text

Estimates for Eigenvalues of the Elliptic Operator in Divergence Form on Riemannian Manifolds by Shenyang Tan, Tiren Huang, Wenbin Zhang

“…We investigate the Dirichlet weighted eigenvalue problem of the elliptic operator in divergence form on compact Riemannian manifolds (M,g,e-ϕdv). We establish a Yang-type inequality of this problem. …”
Get full text

Representation of Manifolds for the Stochastic Swift-Hohenberg Equation with Multiplicative Noise by Yanfeng Guo, Donglong Li

“…Representation of approximation for manifolds of the stochastic Swift-Hohenberg equation with multiplicative noise has been investigated via non-Markovian reduced system. …”
Get full text

The Baker–Schmidt problem for dual approximation and some classes of manifolds by Hussain, Mumtaz, Schleischitz, Johannes

“…The Generalised Baker–Schmidt Problem (1970) concerns the Hausdorff $f$-measure of the set of $\Psi $-approximable points on a nondegenerate manifold. We refine and extend our previous work [Int. …”
Get full text

Abstract mechanical connection and abelian reconstruction for almost Kähler manifolds by Sergey Pekarsky, Jerrold E. Marsden

Get full text

Planetary Gearbox Fault Diagnosis Using Envelope Manifold Demodulation by Weigang Wen, Robert X. Gao, Weidong Cheng

“…To address this critical problem, an envelope manifold demodulation method is proposed for planetary gear fault detection in the paper. …”
Get full text

Information Geometry and Manifold Learning: A Novel Framework for Analyzing Alzheimer’s Disease MRI Data by Ömer Akgüller, Mehmet Ali Balcı, Gabriela Cioca

Subjects: Get full text

Foliations by minimal surfaces and contact structures on certain closed 3-manifolds by Richard H. Escobales

“…Let (M,g) be a closed, connected, oriented C∞ Riemannian 3-manifold with tangentially oriented flow F. Suppose that F admits a basic transverse volume form μ and mean curvature one-form κ which is horizontally closed. …”
Get full text

Toy Models of Universe with an Effective Varying Λ-Term in Lyra Manifold by Martiros Khurshudyan

“…We are interested in the study of the behavior of the Universe in the presence of interacting quintessence DE models in Lyra manifold with a varying Λt. In a considered framework we also would like to propose a new form for Λt. …”
Get full text