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.…”
Get full text

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. …”
Get full text

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. …”
Get full text

LOCAL LINEAR EMBEDDING ALGORITHM FOR PARAMETER MATRIX MEASUREMENT IN SYMMETRIC POSITIVE DEFINITE MANIFOLD (MT) by LIU QingQiang, HE HongKai, ZHENG ChangMin, SUN YanRu, LIU ZiXuan

Subjects: “…Symmetric positive definite manifold…”
Get full text

Non-Nehari Manifold Method for Fractional p-Laplacian Equation with a Sign-Changing Nonlinearity by Huxiao Luo, Shengjun Li, Wenfeng He

Get full text

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) $. …”
Get full text

On a two-point boundary value problem for second-order differential inclusions on Riemannian manifolds by Yuri E. Gliklikh, Andrei V. Obukhovskii

Get full text

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. …”
Get full text

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. …”
Get full text

On CR-submanifolds of the six-dimensional sphere by M. A. Bashir

Subjects: Get full text

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. …”
Get full text

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.…”
Get full text

Gearbox Fault Diagnosis based on Time-frequency Combination Feature Extraction and Manifold Learning of MS-LTSA by Lingjun Xiao, Lü Yong, Rui Yuan

Subjects: Get full text

Ricci–Bourguignon Almost Solitons with Vertical Torse-Forming Potential on Almost Contact Complex Riemannian Manifolds by Mancho Manev

Subjects: “…almost contact B-metric manifold…”
Get full text

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. …”
Get full text

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

Subjects: Get full text

Normal forms of vector fields induced by holomorphic actions of the group SL(2,C) on a complex manifold by Benito Leonardo Ostos Cordero

“…In this work, we study actions of the Lie group SL(2,C) on a complex manifold of dimension three or higher. It is demonstrated that these types of actions induce three complete holomorphic vector fields, one of which is periodic, and that there exists a particular relationship between them, given by the Lie bracket, which generates a singular holomorphic foliation of codimension two. …”
Get full text

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

Subjects: Get full text

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

Subjects: Get full text

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

Subjects: “…Grassman manifold…”
Get full text