An Effective Manifold Learning Approach to Parametrize Data for Generative Modeling of Biosignals by Lorenzo Manoni, Claudio Turchetti, Laura Falaschetti

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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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On the structure of tangent bundle of (f, g)-manifold defined by 2-forms by Angelė Baškienė

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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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ROLLING BEARING FAULT DIAGNOSIS BASED ON ADAPTIVE RCGMVMFE AND MANIFOLD LEARNING by LIU WuQiang, YANG XiaoQiang, SHEN JinXing

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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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Research of the Gear Fault Diagnosis based on Improved LMD and Manifold Learning by Shen Chao, Yang Jianwei, Yao Dechen, Li Xi

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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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Sparsity induced convex nonnegative matrix factorization algorithm with manifold regularization by Feiyue QIU, Bowen CHEN, Tieming CHEN, Guodao ZHANG

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Rootlets Hierarchical Principal Component Analysis for Revealing Nested Dependencies in Hierarchical Data by Korey P. Wylie, Jason R. Tregellas

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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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Approximation and extension of Hermitian metrics on holomorphic vector bundles over Stein manifolds by Deng, Fusheng, Ning, Jiafu, Wang, Zhiwei, Zhou, Xiangyu

“…We show that a singular Hermitian metric on a holomorphic vector bundle over a Stein manifold which is negative in the sense of Griffiths (resp. …”
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2DUMAP: Two-Dimensional Uniform Manifold Approximation and Projection for Fault Diagnosis by Benchao Li, Yuanyuan Zheng, Ruisheng Ran

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