Variable Exponent Spaces of Differential Forms on Riemannian Manifold by Yongqiang Fu, Lifeng Guo

“…We introduce the Lebesgue space and the exterior Sobolev space for differential forms on Riemannian manifold 𝑀 which are the Lebesgue space and the Sobolev space of functions on 𝑀, respectively, when the degree of differential forms to be zero. …”
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Almost Ricci–Yamabe soliton on contact metric manifolds by Mohan Khatri, Jay Prakash Singh

Subjects: “…(k, μ)-Contact metric manifold…”
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On Hyperbolic 3-Manifolds Obtained by Dehn Surgery on Links by Soo Hwan Kim, Yangkok Kim

“…We study the algebraic and geometric structures for closed orientable 3-manifolds obtained by Dehn surgery along the family of hyperbolic links with certain surgery coefficients and moreover, the geometric presentations of the fundamental group of these manifolds. …”
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On the Equivalence of B-Rigidity and C-Rigidity for Quasitoric Manifolds by Jin Hong Kim

“…For quasitoric manifolds and moment-angle complexes which are central objects recently much studied in toric topology, there are several important notions of rigidity formulated in terms of cohomology rings. …”
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Recovering manifold representations via unsupervised meta-learning by Yunye Gong, Jiachen Yao, Ruyi Lian, Xiao Lin, Chao Chen, Ajay Divakaran, Yi Yao

Subjects: “…manifold representation learning…”
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Slant and Semi-Slant Submanifolds in Metallic Riemannian Manifolds by Cristina E. Hretcanu, Adara M. Blaga

“…The aim of our paper is to focus on some properties of slant and semi-slant submanifolds of metallic Riemannian manifolds. We give some characterizations for submanifolds to be slant or semi-slant submanifolds in metallic or Golden Riemannian manifolds and we obtain integrability conditions for the distributions involved in the semi-slant submanifolds of Riemannian manifolds endowed with metallic or Golden Riemannian structures. …”
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Weyl-Euler-Lagrange Equations of Motion on Flat Manifold by Zeki Kasap

“…This paper deals with Weyl-Euler-Lagrange equations of motion on flat manifold. It is well known that a Riemannian manifold is said to be flat if its curvature is everywhere zero. …”
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Totally Umbilical Hemi-Slant Submanifolds of Kaehler Manifolds by Falleh R. Al-Solamy, Meraj Ali Khan, Siraj Uddin

“…We study totally umbilical hemi-slant submanifolds of a Kaehler manifold via curvature tensor. We prove some classification theorems for totally umbilical hemi-slant submanifolds of a Kaehler manifold and give an example.…”
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On ϕ-Symmetric N(k)-Paracontact Metric Manifolds by D. G. Prakasha, K. K. Mirji

“…The notions of ϕ-symmetric, 3-dimensional locally ϕ-symmetric, ϕ-Ricci symmetric, and 3-dimensional locally ϕ-Ricci symmetric N(k)-paracontact metric manifolds have been introduced and properties of these structures have been discussed.…”
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Tagetes erecta ‘Perfection Yellow’ ‘Perfection Yellow’ Marigold by Edward Gilman

Subjects: “…Marigold…”
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Remarks on Almost Cosymplectic 3-Manifolds with RICCI Operators by Quanxiang Pan, Yajie Wang

“…Let M be an almost cosymplectic 3-h-a-manifold. In this paper, we prove that the Ricci operator of M is transversely Killing if and only if M is locally isometric to a product space of an open interval and a surface of constant Gauss curvature, or a unimodular Lie group equipped with a left invariant almost cosymplectic structure. …”
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Cohomology with bounds and Carleman estimates for the ∂¯-operator on Stein manifolds by Patrick W. Darko

“…Cohomology with bounds are used to globalize a result of Hörmander obtaining Carleman estimates for the Cauchy-Riemann operator on Stein manifolds.…”
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CR-submanifolds of a nearly trans-Sasakian manifold by Falleh R. Al-Solamy

“…This paper considers the study of CR-submanifolds of a nearly trans-Sasakian manifold, generalizing the results of trans-Sasakian manifolds and thus those of Sasakian manifolds.…”
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A note on homotopy and pseudoisotopy of diffeomorphisms of $4$-manifolds by Krannich, Manuel, Kupers, Alexander

Subjects: “…4-Manifolds…”
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Alignment of vector fields on manifolds via contraction mappings by O.N. Kachan, Yu.A. Yanovich, E.N. Abramov

Subjects: “…manifold learning…”
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Biharmonic Curves in a Strict Walker 3-Manifold by Mamadou Gningue, Ameth Ndiaye, Rénovat Nkunzimana

“…In this paper, we study the geometry of biharmonic curves in a strict Walker 3-manifold and we obtain explicit parametric equations for biharmonic curves and time-like biharmonic curves, respectively. …”
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Approximation Bounds for Model Reduction on Polynomially Mapped Manifolds by Buchfink, Patrick, Glas, Silke, Haasdonk, Bernard

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On differential geometry of tangent and cotangent bundles of Riemannian manifold by Angelė Baškienė

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The Heegaard genus of manifolds obtained by surgery on links and knots by Bradd Clark

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Chern classes of integral submanifolds of some contact manifolds by Gheorghe Pitiş

“…A complex subbundle of the normal bundle to an integral submanifold of the contact distribution in a Sasakian manifold is given. The geometry of this bundle is investigated and some results concerning its Chern classes are obtained.…”
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