Two theorems on (ϵ)-Sasakian manifolds by Xu Xufeng, Chao Xiaoli

Subjects: “…(ϵ)-sasakian manifolds; real hypersurface; indefinite kaehlerian manifolds; (ϵ)-almost contact structure.…”
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On Sectional Curvatures of (ε)-Sasakian Manifolds by Rakesh Kumar, Rachna Rani, R. K. Nagaich

“…We obtain some basic results for Riemannian curvature tensor of (ε)-Sasakian manifolds and then establish equivalent relations among φ-sectional curvature, totally real sectional curvature, and totally real bisectional curvature for (ε)-Sasakian manifolds.…”
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Topological Complexity and LS-Category of Certain Manifolds by Fezzeh Akhtarifar, Mohammad A. Asadi-Golmankhaneh

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

“…We study totally umbilical CR-submanifolds of a Kaehler manifold carrying a semi-Riemannian metric. It is shown that for dimension of the totally real distribution greater than one, these submanifolds are locally decomposable into a complex and a totally real submanifold of the Kaehler manifold. …”
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A New Class of Contact Pseudo Framed Manifolds with Applications by K. L. Duggal

“…In this paper, we introduce a new class of contact pseudo framed (CPF)-manifolds M,g,f,λ,ξ by a real tensor field f of type 1,1, a real function λ such that f3=λ2f where ξ is its characteristic vector field. …”
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Detecting phase transitions in collective behavior using manifold's curvature by Kelum Gajamannage, Erik M. Bollt

“…Secondly, we attest that the same phase transition can also be approximated by singular value ratios computed locally over the data in a neighborhood on the manifold. We validate the Phase Transition Detection (PTD) method using one particle simulation and three real world examples.…”
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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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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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Real structures on primary Hopf surfaces by Khaled Zahraa

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Almost contact metric 3-submersions by Bill Watson

“…An almost contact metric 3-submersion is a Riemannian submersion, π from an almost contact metric manifold (M4m+3,(φi,ξi,ηi)i=13,g) onto an almost quaternionic manifold (N4n,(Ji)i=13,h) which commutes with the structure tensors of type (1,1);i.e., π*φi=Jiπ*, for i=1,2,3. …”
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A model-based factorization method for scRNA data unveils bifurcating transcriptional modules underlying cell fate determination by Jun Ren, Ying Zhou, Yudi Hu, Jing Yang, Hongkun Fang, Xuejing Lyu, Jintao Guo, Xiaodong Shi, Qiyuan Li

“…Manifold-learning is particularly useful to resolve the complex cellular state space from single-cell RNA sequences. …”
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Novel Convolutional Restricted Boltzmann Machine manifold learning inspired dynamic user clustering hybrid precoding for millimeter-wave massive multiple-input multiple-output syst... by Xiaoping Zhou, Haichao Liu, Bin Wang, Qian Zhang, Yang Wang

“…The novel Convolutional Restricted Boltzmann Machine manifold learning seeks to learn embedded low-dimensional manifolds through manifold learning in the face of user mobility in clusters. …”
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Infinite volume and atoms at the bottom of the spectrum by Edwards, Sam, Fraczyk, Mikolaj, Lee, Minju, Oh, Hee

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Second order sliding mode control with proportional integral observer for wing rock by Ahmad Mahmood, Jamshed Iqbal

“…An unknown state can be discovered by forcing the PI term on the state error, which is the difference between the real and estimated states. A second order sliding mode control (SOSMC) based on a proposed nonlinear sliding manifold is designed to achieve improved transient response and control performance by robustness. …”
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Robust and Sparse Kernel-Free Quadratic Surface LSR via L_2,p-Norm With Feature Selection for Multi-Class Image Classification by Yongqi Zhu, Zhixia Yang, Junyou Ye, Yongxing Hu

“…Extensive experiments on synthetic and real datasets validate the effectiveness of our method, surpassing other state-of-the-art methods in terms of classification accuracy and feature selection performance.…”
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An In-Depth Study of Personalized Anesthesia Management Models in Gastrointestinal Endoscopy Based on Multimodal Deep Learning by Hanqi Shi, Hongyu Wang, Xibing Ding, Zheng Dang

“…Based on these findings, a multimodal deep learning model was developed that integrates Long Short-Term Memory (LSTM) networks, hyperparameter geometric manifold optimization (GMO) methods and data-driven sparse matrix classifiers. …”
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Cycle Intersection for SOp,q-Flag Domains by Faten Abu Shoga

“…A real form G0 of a complex semisimple Lie group G has only finitely many orbits in any given compact G-homogeneous projective algebraic manifold Z=G/Q. …”
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Multiplicity Results for p-Laplacian with Critical Nonlinearity of Concave-Convex Type and Sign-Changing Weight Functions by Tsing-San Hsu

“…The study is based on the extraction of Palais-Smale sequences in the Nehari manifold.…”
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New Fuzzy Support Vector Machine for the Class Imbalance Problem in Medical Datasets Classification by Xiaoqing Gu, Tongguang Ni, Hongyuan Wang

“…In medical datasets classification, support vector machine (SVM) is considered to be one of the most successful methods. However, most of the real-world medical datasets usually contain some outliers/noise and data often have class imbalance problems. …”
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Skein modules of links in cylinders over surfaces by Jens Lieberum

“…We define the Conway skein module 𝒞 (M) of ordered based links in a 3-manifold M. This module gives rise to 𝒞 (M)-valued invariants of usual links in M. …”
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