Bending of Nonconforming Thin Plates Based on the Mixed-Order Manifold Method with Background Cells for Integration by Xin Qu, Lijun Su, Zhijun Liu, Xingqian Xu, Fangfang Diao, Wei Li

“…However, the convergence, good numerical accuracy, and high computing efficiency of ACM element with irregular physical boundaries cannot be achieved using either the finite element method (FEM) or the numerical manifold method (NMM). The mixed-order NMM with background cells for integration was developed to analyze the bending of nonconforming thin plates with irregular physical boundaries. …”
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Non-Nehari Manifold Method for Fractional p-Laplacian Equation with a Sign-Changing Nonlinearity by Huxiao Luo, Shengjun Li, Wenfeng He

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On eigenfunctions corresponding to first non-zero eigenvalue of the sphere $ S^n(c) $ on a Riemannian manifold by Sharief Deshmukh, Amira Ishan, Olga Belova

“…In this article, we consider the question of finding conditions under which an $ n $-dimensional closed Riemannian manifold $ \left(M^{n}, g\right) $ having a non-zero eigenvalue $ nc $ for a positive constant $ c $ (that is, has same non-zero eigenvalue as first non-zero eigenvalue of the sphere $ S^{n}(c) $), is isometric to $ S^{n}(c) $. …”
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On a two-point boundary value problem for second-order differential inclusions on Riemannian manifolds by Yuri E. Gliklikh, Andrei V. Obukhovskii

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Seiberg-Witten Like Equations on Pseudo-Riemannian Spinc Manifolds with G2(2)∗ Structure by Nülifer Özdemir, Nedim Deǧirmenci

“…We consider 7-dimensional pseudo-Riemannian spinc manifolds with structure group G2(2)∗. On such manifolds, the space of 2-forms splits orthogonally into components Λ2M=Λ72⊕Λ142. …”
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Conformal η-Ricci-Yamabe Solitons within the Framework of ϵ-LP-Sasakian 3-Manifolds by Abdul Haseeb, Meraj Ali Khan

“…In the present note, we study ϵ-LP-Sasakian 3-manifolds M3ϵ whose metrics are conformal η-Ricci-Yamabe solitons (in short, CERYS), and it is proven that if an M3ϵ with a constant scalar curvature admits a CERYS, then £Uζ is orthogonal to ζ if and only if Λ−ϵσ=−2ϵl+mr/2+1/2p+2/3. …”
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Ising Hamiltonian minimization: Gain-based computing with manifold reduction of soft spins vs quantum annealing by James S. Cummins, Hayder Salman, Natalia G. Berloff

“…To counteract this issue, we introduce the manifold reduction method, which restricts the soft-spin amplitudes to a defined phase space region. …”
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A Kastler-Kalau-Walze Type Theorem and the Spectral Action for Perturbations of Dirac Operators on Manifolds with Boundary by Yong Wang

“…We also compute the spectral action for Dirac operators with two-form perturbations on 4-dimensional compact manifolds.…”
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Ricci–Bourguignon Almost Solitons with Vertical Torse-Forming Potential on Almost Contact Complex Riemannian Manifolds by Mancho Manev

Subjects: “…almost contact B-metric manifold…”
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A Manifold-Based Dimension Reduction Algorithm Framework for Noisy Data Using Graph Sampling and Spectral Graph by Tao Yang, Dongmei Fu, Jintao Meng

“…This paper proposes a new manifold-based dimension reduction algorithm framework. …”
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Channel estimation for double IRS-assisted millimeter wave MIMO systems based on tensor decomposition and manifold optimization by FENG Kaihui, LIU Chen, HUANG Zheng, SONG Yunchao, GAO Runqin

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Time-evolution of a caustic by Nasit Ari, Arthur D. Gorman

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Cognition: Differential-geometrical view on neural networks by S. A. Buffalov

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Geometry of semi-nonholonomic hypercomplexes SNGr(1, 4, 5) in a four-dimensional projective space by Kazimieras Navickis

Subjects: “…Grassman manifold…”
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Almost contact metric 3-submersions by Bill Watson

Subjects: “…almost contact metric manifolds…”
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SSMM: Semi-supervised manifold method with spatial-spectral self-training and regularized metric constraints for hyperspectral image dimensionality reduction by Bei Zhu, Yao Jin, Xuehua Guan, Yanni Dong

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Normal and integrable parabolic metric (φ, ξ, η, g, λ)-structures on hypersurfaces of parabolic integrable (F , G)-manifolds by Angelė Baškienė

“… Parabolic (φ, ξ, η, λ)-structures and parabolic metric  (φ, ξ, η, g, λ)-structures on hypersurfaces of parabolic integrable F-manifolds and parabolic integrable (F, G)-manifolds, respectively, are regarded. …”
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Transversal Lightlike Submersions by Cumali Yıldırım, Esra Karataş

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Space-time caustics by Arthur D. Gorman

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Metriplectic Euler-Poincaré equations: smooth and discrete dynamics by Anthony Bloch, Marta Farré Puiggalí, David Martín de Diego

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