Warped Product Submanifolds of Riemannian Product Manifolds by Falleh R. Al-Solamy, Meraj Ali Khan

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Totally Contact Umbilical Lightlike Hypersurfaces of Indefinite -Manifolds by Rachna Rani, Rakesh Kumar, R. K. Nagaich

“…We study totally contact umbilical lightlike hypersurfaces of indefinite -manifolds and prove the nonexistence of totally contact umbilical lightlike hypersurface in indefinite -space form.…”
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ρ-Einstein Solitons on Warped Product Manifolds and Applications by Nasser Bin Turki, Sameh Shenawy, H. K. EL-Sayied, N. Syied, C. A. Mantica

“…The purpose of this research is to investigate how a ρ-Einstein soliton structure on a warped product manifold affects its base and fiber factor manifolds. …”
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Noninvariant Hypersurfaces of a Nearly Trans-Sasakian Manifolds by Satya Prakash Yadav, Shyam Kishor

“…Further, the second fundamental forms of noninvariant hypersurfaces of nearly trans-Sasakian manifolds and nearly cosymplectic manifolds with (f,g,u,v,λ)-structure have been calculated provided f is parallel. …”
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Special Half Lightlike Submanifolds of an Indefinite Cosymplectic Manifold by Dae Ho Jin

“…We study the geometry of half lightlike submanifolds 𝑀 of an indefinite cosymplectic manifold 𝑀. First, we construct two types of half lightlike submanifolds according to the form of the structure vector field of 𝑀, named by tangential and ascreen half lightlike submanifolds. …”
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Symmetry breaking organizes the brain’s resting state manifold by Jan Fousek, Giovanni Rabuffo, Kashyap Gudibanda, Hiba Sheheitli, Spase Petkoski, Viktor Jirsa

“…The understanding of the brain’s resting state manifold is fundamental for the construction of task-specific flows and manifolds used in theories of brain function. …”
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Clairaut slant submersion from almost Hermitian manifolds by Kumar Sushil, Prasad Rajendra, Kumar Singh Punit

Subjects: “…kähler manifold…”
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Hamiltonian and Lagrangian BRST Quantization in Riemann Manifold II by Vipul Kumar Pandey

“…We generalize the formalism in the case of L-dimensional manifold VL embedded in RN with 1≤L<N. The result is essentially the same as the previous one. …”
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On the geometry of Riemannian manifolds with a Lie structure at infinity by Bernd Ammann, Robert Lauter, Victor Nistor

“…We study a generalization of the geodesic spray and give conditions for noncomapct manifolds with a Lie structure at infinity to have positive injectivity radius. …”
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Generalized Transversal Lightlike Submanifolds of Indefinite Sasakian Manifolds by Yaning Wang, Ximin Liu

“…We introduce and study generalized transversal lightlike submanifold of indefinite Sasakian manifolds which includes radical and transversal lightlike submanifolds of indefinite Sasakian manifolds as its trivial subcases. …”
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Neutral Slant Submanifolds of a Para-Kähler Manifold by Yılmaz Gündüzalp

“…We define and study both neutral slant and semineutral slant submanifolds of an almost para-Hermitian manifold and, in particular, of a para-Kähler manifold. …”
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Donald Barthelme’s The King: The Manifold Guises of (an) American(’s) Memory by Aurélie Delevallée

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A Note on Topological Properties of Non-Hausdorff Manifolds by Steven L. Kent, Roy A. Mimna, Jamal K. Tartir

“…The notion of compatible apparition points is introduced for non-Hausdorff manifolds, and properties of these points are studied. …”
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Interacting Quintessence Dark Energy Models in Lyra Manifold by M. Khurshudyan, J. Sadeghi, R. Myrzakulov, Antonio Pasqua, H. Farahani

“…We consider two-component dark energy models in Lyra manifold. The first component is assumed to be a quintessence field while the second component may be a viscous polytropic gas, a viscous Van der Waals gas, or a viscous modified Chaplygin gas. …”
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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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