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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DDVV Inequality on Submanifolds Coupled with a Slant Factor in Quaternionic Kaehler Manifolds by Rawan Bossly, Majid Ali Choudhary, Mohd Danish Siddiqi, Oḡuzhan Bahadır, Mehmet Gülbahar

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Schur-type inequality for solitonic hypersurfaces in $ (k, \mu) $-contact metric manifolds by Mohd Danish Siddiqi, Fatemah Mofarreh

Subjects: “…$ (k, \mu) $-contact metric manifold…”
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A Kastler-Kalau-Walze Type Theorem for 7-Dimensional Manifolds with Boundary by Jian Wang, Yong Wang

“…We give a brute-force proof of the Kastler-Kalau-Walze type theorem for 7-dimensional manifolds with boundary.…”
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Link Scheduling in Satellite Networks via Machine Learning Over Riemannian Manifolds by Joarder Jafor Sadique, Imtiaz Nasim, Ahmed S. Ibrahim

“…The first step in the proposed solution involves modeling the network over Riemannian manifolds, thanks to their representation as symmetric positive definite matrices. …”
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An Investigation of Manifold-Based Direct Control for a Brain-to-Body Neural Bypass by E. Losanno, M. Badi, E. Roussinova, A. Bogaard, M. Delacombaz, S. Shokur, S. Micera

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Some Curvature Conditions on a Para-Sasakian Manifold with Canonical Paracontact Connection by Bilal Eftal Acet, Erol Kılıç, Selcen Yüksel Perktaş

“…We study canonical paracontact connection on a para-Sasakian manifold. We prove that a Ricci-flat para-Sasakian manifold with respect to canonical paracontact connection is an η-Einstein manifold. …”
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A Note on Starshaped Sets in 2-Dimensional Manifolds without Conjugate Points by Adem Kılıcman, Wedad Saleh

“…Let Wn be C∞ complete, simply connected n-dimensional Riemannian manifolds without conjugate points. Assume that S⊂W2 is starshaped where kerS≠S. …”
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Perturbatively exact supersymmetric partition functions of ABJM theory on Seifert manifolds and holography by Junho Hong

“…This analysis umambiguously determines the U(1) R holonomy along the Seifert fiber, thereby solidifying the holographic comparison regarding the partition function on a large subclass of Seifert manifolds.…”
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A Note on the Asymptotic Behavior of Parabolic Monge-Ampère Equations on Riemannian Manifolds by Qiang Ru

“…We study the asymptotic behavior of the parabolic Monge-Ampère equation in , in , where is a compact complete Riemannian manifold, λ is a positive real parameter, and is a smooth function. …”
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Some Properties of Curvature Tensors and Foliations of Locally Conformal Almost Kähler Manifolds by Ntokozo Sibonelo Khuzwayo, Fortuné Massamba

“…We show that a locally conformal almost Kähler manifold admits a canonical foliation whose leaves are hypersurfaces with the mean curvature vector field proportional to the Lee vector field. …”
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Geodesic Distance on Gaussian Manifolds to Reduce the Statistical Errors in the Investigation of Complex Systems by Michele Lungaroni, Andrea Murari, Emmanuele Peluso, Pasqualino Gaudio, Michela Gelfusa

“…To tackle this additional source of uncertainty, in this paper it is shown how already developed robust statistical tools can be usefully complemented with the Geodesic Distance on Gaussian Manifolds. This metric is conceptually more appropriate and practically more effective, in handling noise of Gaussian distribution, than the traditional Euclidean distance. …”
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Research on CSI feedback of RIS-assisted massive MIMO system based on manifold learning by QIAN Mujun, YU Shunchi, LIU Chen, SONG Yunchao, LU Feng

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Simple Motion Pursuit and Evasion Differential Games with Many Pursuers on Manifolds with Euclidean Metric by Atamurat Kuchkarov, Gafurjan Ibragimov, Massimiliano Ferrara

“…We consider pursuit and evasion differential games of a group of m pursuers and one evader on manifolds with Euclidean metric. The motions of all players are simple, and maximal speeds of all players are equal. …”
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A General Criterion for Unidirectionally Coupled Generalized Chaotic Synchronization with a Desired Manifold by Xiang Yu, Zhaolun Zuo, Shijian Zhu, Xuxin Zhang

“…Two numerical examples are used to construct unidirectional coupled chaotic systems in the form of different types of manifolds. Numerical simulation is carried out to verify the feasibility of the construction method and the criterion.…”
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Fault Detection of High-Speed Train Wheelset Bearing Based on Impulse-Envelope Manifold by Zhe Zhuang, Jianming Ding, Andy C. Tan, Ying Shi, Jianhui Lin

“…A novel fault detection method employing the impulse-envelope manifold is proposed in this paper which is based on the combination of convolution sparse representation (CSR) and Hilbert transform manifold learning. …”
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Some Remarks on Quasi-Generalized CR-Null Geometry in Indefinite Nearly Cosymplectic Manifolds by Fortuné Massamba, Samuel Ssekajja

“…Attention is drawn to some distributions on ascreen Quasi-Generalized Cauchy-Riemannian (QGCR) null submanifolds in an indefinite nearly cosymplectic manifold. We characterize totally umbilical and irrotational ascreen QGCR-null submanifolds. …”
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Invariant f-structures on the flag manifolds SO(n)/SO(2)×SO(n−3) by Vitaly V. Balashchenko, Anna Sakovich

“…We consider manifolds of oriented flags SO(n)/SO(2)×SO(n−3)(n≥4) as 4- and 6-symmetric spaces and indicate characteristic conditions for invariant Riemannian metrics under which the canonical f-structures on these homogeneous Φ-spaces belong to the classes Kill f, NKf, and G1f of generalized Hermitian geometry.…”
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Parameter Dependence of Stable Invariant Manifolds for Delay Differential Equations under (μ,ν)-Dichotomies by Lijun Pan

“…We show that the stable invariant manifolds are dependent on parameter λ. Namely, the stable invariant manifolds are Lipschitz in the parameter λ. …”
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