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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Information Geometry and Manifold Learning: A Novel Framework for Analyzing Alzheimer’s Disease MRI Data by Ömer Akgüller, Mehmet Ali Balcı, Gabriela Cioca

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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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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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On hypersurfaces in a locally affine Riemannian Banach manifold II by El-Said R. Lashin, Tarek F. Mersal

“…In our previous work (2002), we proved that an essential second-order hypersurface in an infinite-dimensional locally affine Riemannian Banach manifold is a Riemannian manifold of constant nonzero curvature. …”
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Totally umbilical CR-submanifolds of Semi-Riemannian Kaehler manifolds by K. L. Duggal, R. Sharma

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Detecting phase transitions in collective behavior using manifold's curvature by Kelum Gajamannage, Erik M. Bollt

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Invariant manifold of hyperbolic-elliptic type for nonlinear wave equation by Xiaoping Yuan

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Families of (1,2)-symplectic metrics on full flag manifolds by Marlio Paredes

“…We obtain new families of (1,2)-symplectic invariant metrics on the full complex flag manifolds F(n). For n≥5, we characterize n−3 different n-dimensional families of (1,2)-symplectic invariant metrics on F(n). …”
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A New Class of Contact Pseudo Framed Manifolds with Applications by K. L. Duggal

“…In 1976, Blair proved that the vector field ξ of a normal contact manifold is Killing. Contrary to this, we have shown in Theorem 2 that, in general, ξ of a normal CPF-manifold is non-Killing. …”
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Invariant Submanifolds of Sasakian Manifolds Admitting Semisymmetric Nonmetric Connection by B. S. Anitha, C. S. Bagewadi

“…The object of this paper is to study invariant submanifolds 𝑀 of Sasakian manifolds 𝑀 admitting a semisymmetric nonmetric connection, and it is shown that M admits semisymmetric nonmetric connection. …”
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Pseudo-Sasakian manifolds endowed with a contact conformal connection by Vladislav V. Goldberg, Radu Rosca

“…Pseudo-Sasakian manifolds M˜(U,ξ,η˜,g˜) endowed with a contact conformal connection are defined. …”
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Existence and Approximation of Manifolds for the Swift-Hohenberg Equation with a Parameter by Yanfeng Guo, Chunxiao Guo, Donglong Li

“…The existence and approximation of manifolds for the Swift-Hohenberg equation with a proper parameter have mainly been studied. …”
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