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

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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. …”
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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. …”
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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. …”
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Integral invariant manifold method applied to a mathematical model of osteosarcoma by Ophir Nave

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Diffeomorphism groups of connected sum of a product of spheres and classification of manifolds by Samuel Omoloye Ajala

“…In [1] and [2] a classification of a manifold M of the type (n,p,1) was given where Hp(M)=Hn−p(M)=ℤ is the only non-trivial homology groups. …”
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Calabi-Yau Manifolds, Hermitian Yang-Mills Instantons, and Mirror Symmetry by Hyun Seok Yang, Sangheon Yun

“…Via the gauge theory formulation of six-dimensional Riemannian manifolds, we show that the curvature tensor of a Calabi-Yau manifold satisfies the Hermitian Yang-Mills equations on the Calabi-Yau manifold. …”
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Warped Product Pseudo-Slant Submanifolds of a Nearly Cosymplectic Manifold by Siraj Uddin, Bernardine R. Wong, A. A. Mustafa

“…We study warped product pseudo-slant submanifolds of a nearly cosymplectic manifold. We obtain some characterization results on the existence or nonexistence of warped product pseudo-slant submanifolds of a nearly cosymplectic manifold in terms of the canonical structures 𝑃 and 𝐹.…”
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A Hofer-Type Norm of Hamiltonian Maps on Regular Poisson Manifold by Dawei Sun, Zhenxing Zhang

“…We define a Hofer-type norm for the Hamiltonian map on regular Poisson manifold and prove that it is nondegenerate. We show that the L1,∞-norm and the L∞-norm coincide for the Hamiltonian map on closed regular Poisson manifold and give some sufficient conditions for a Hamiltonian path to be a geodesic. …”
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Invariant manifolds and alternative approaches to reductive perturbation theory: dissipative systems by Hedley C. Morris, Derek Sheil, Roger Dodd

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Lightlike Submanifolds of a Semi-Riemannian Manifold of Quasi-Constant Curvature by D. H. Jin, J. W. Lee

“…We study the geometry of lightlike submanifolds (𝑀,𝑔,𝑆(𝑇𝑀),𝑆(𝑇𝑀⟂)) of a semi-Riemannian manifold (𝑀,̃𝑔) of quasiconstant curvature subject to the following conditions: (1) the curvature vector field ζ of 𝑀 is tangent to 𝑀, (2) the screen distribution 𝑆(𝑇𝑀) of 𝑀 is totally geodesic in 𝑀, and (3) the coscreen distribution 𝑆(𝑇𝑀⟂) of 𝑀 is a conformal Killing distribution.…”
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A characterization of the Grassmann manifold (Gp,2(IR)). another review by A. J. Ledger, B. J. Papantoniou

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Numerical Manifold Method for the Forced Vibration of Thin Plates during Bending by Ding Jun, Chen Song, Wen Wei-Bin, Luo Shao-Ming, Huang Xia

“…A novel numerical manifold method was derived from the cubic B-spline basis function. …”
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The Morse Index of Sacks–Uhlenbeck α-Harmonic Maps for Riemannian Manifolds by Amir Shahnavaz, Nader Kouhestani, Seyed Mehdi Kazemi Torbaghan

“…Furthermore, the notion of α-stable manifolds and its applications are considered. Finally, we investigate the α-stability of any compact Riemannian manifolds admitting a nonisometric conformal vector field and any Einstein Riemannian manifold under certain assumptions on the smallest positive eigenvalue of its Laplacian operator on functions.…”
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Sphere Theorems for <i>σ_k</i>-Einstein Manifolds by Jingyang Zhong, Xinran Mu

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Corrigendum to “Manifold Adaptive Kernelized Low-Rank Representation for Semisupervised Image Classification” by Yong Peng, Wanzeng Kong, Feiwei Qin, Feiping Nie

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