Dual Wavelet Frame Transforms on Manifolds and Graphs by Lihong Cui, Qiaoyun Wu, Jiale Liu, Jianjun Sun

“…In this paper, we consider the dual wavelet frames in both continuum setting, i.e., on manifolds, and discrete setting, i.e., on graphs. Firstly, we give sufficient conditions for the existence of dual wavelet frames on manifolds by their corresponding masks. …”
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Topological Complexity and LS-Category of Certain Manifolds by Fezzeh Akhtarifar, Mohammad A. Asadi-Golmankhaneh

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Parallel one forms on special Finsler manifolds by Salah G. Elgendi

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Dichotomies with No Invariant Unstable Manifolds for Autonomous Equations by Răzvan O. Moşincat, Ciprian Preda, Petre Preda

“…The novelty of our approach consists in the fact that we do not assume the T(t)-invariance of the unstable manifolds. Roughly speaking, we prove that if the solution of the corresponding inhomogeneous difference equation belongs to any sequence space (on which the right shift is an isometry) for every inhomogeneity from the same class of sequence spaces, then the continuous-time solutions of the autonomous homogeneous differential equation will exhibit a (no past) exponential dichotomic behavior. …”
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On CR-Lightlike Product of an Indefinite Kaehler Manifold by Rakesh Kumar, Jasleen Kaur, R. K. Nagaich

“…We have studied mixed foliate CR-lightlike submanifolds and CR-lightlike product of an indefinite Kaehler manifold and also obtained relationship between them. …”
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Warped Product Submanifolds of Riemannian Product Manifolds by Falleh R. Al-Solamy, Meraj Ali Khan

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Les maniocs et les autres by Laure Emperaire

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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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