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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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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The Numerical Class of a Surface on a Toric Manifold by Hiroshi Sato

“…In this paper, we give a method to describe the numerical class of a torus invariant surface on a projective toric manifold. As applications, we can classify toric 2-Fano manifolds of the Picard number 2 or of dimension at most 4.…”
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Magnetic Curves in Homothetic <i>s</i>-th Sasakian Manifolds by Şaban Güvenç, Cihan Özgür

Subjects: “…homothetic <i>s</i>-th Sasakian manifold…”
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Global Regularity for the ∂-b-Equation on CR Manifolds of Arbitrary Codimension by Shaban Khidr, Osama Abdelkader

“…Let M be a C∞ compact CR manifold of CR-codimension l≥1 and CR-dimension n-l in a complex manifold X of complex dimension n≥3. …”
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Noncoherent unitary space-time design base on Grassmann manifold by Da-wei FU, Li PENG, Li-jiao WANG, Qiu-ping PENG

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A remark on the metric dimension in Riemannian manifolds of constant curvature by Shiva Heidarkhani Gilani, Reza Mirzaie, Ebrahim Vatandoost

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Conformal Vector Fields on Doubly Warped Product Manifolds and Applications by H. K. El-Sayied, Sameh Shenawy, Noha Syied

“…This article aimed to study and explore conformal vector fields on doubly warped product manifolds as well as on doubly warped spacetime. Then we derive sufficient conditions for matter and Ricci collineations on doubly warped product manifolds. …”
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Approximation numbers of Sobolev embeddings of radial functions on isotropic manifolds by Leszek Skrzypczak, Bernadeta Tomasz

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