On the Spectral Asymptotics of Operators on Manifolds with Ends by Sandro Coriasco, Lidia Maniccia

“…We deal with the asymptotic behaviour, for λ→+∞, of the counting function NP(λ) of certain positive self-adjoint operators P with double order (m,μ), m,μ > 0,  m≠μ , defined on a manifold with ends M. The structure of this class of noncompact manifolds allows to make use of calculi of pseudodifferential operators and Fourier integral operators associated with weighted symbols globally defined on ℝn. …”
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On Lightlike Geometry of Para-Sasakian Manifolds by Bilal Eftal Acet, Selcen Yüksel Perktaş, Erol Kılıç

“…We study lightlike hypersurfaces of para-Sasakian manifolds tangent to the characteristic vector field. …”
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On the vertical bundle of a pseudo-Finsler manifold by Aurel Bejancu, Hani Reda Farran

Subjects: “…Pseudo-Finsler manifold…”
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A Study on Trans-para-Sasakian Manifolds by Irem KUPELI ERKEN, Mustafa OZKAN

Subjects: “…trans-para-sasakian manifold…”
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Hyperspherical Manifold for EEG Signals of Epileptic Seizures by Tahir Ahmad, Vinod Ramachandran

“…A mapping then is devised to transport the measure data onto the surface of a high-dimensional manifold, enabling the analysis of seizures using directional statistics and manifold theory. …”
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On minimal hypersurfaces of nonnegatively Ricci curved manifolds by Yoe Itokawa

Subjects: “…riemannian manifold…”
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The Dual and Mirror Images of the Dunwoody 3-Manifolds by Soo Hwan Kim, Yangkok Kim

“…Recently, in 2013, we proved that certain presentations present the Dunwoody 3-manifold groups. Since the Dunwoody 3-manifolds do not have a unique Heegaard diagram, we cannot determine a unique group presentation for the Dunwoody 3-manifolds. …”
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The Hijazi Inequalities on Complete Riemannian Spinc Manifolds by Roger Nakad

“…We extend the Hijazi type inequality, involving the energy-momentum tensor, to the eigenvalues of the Dirac operator on complete Riemannian Spinc manifolds without boundary and of finite volume. Under some additional assumptions, using the refined Kato inequality, we prove the Hijazi type inequality for elements of the essential spectrum. …”
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Implicit Methods for Equilibrium Problems on Hadamard Manifolds by Muhammad Aslam Noor, Saira Zainab, Yonghong Yao

“…We use the auxiliary principle technique to suggest and analyze an implicit method for solving the equilibrium problems on Hadamard manifolds. The convergence of this new implicit method requires only the speudomonotonicity, which is a weaker condition than monotonicity. …”
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Odd Jacobi Manifolds and Loday-Poisson Brackets by Andrew James Bruce

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Certain Class of Almost α-Cosymplectic Manifolds by Sermin Öztürk, Hakan Öztürk

“…This paper concerned with almost α-cosymplectic manifolds satisfying conformally flat condition. Firstly, we investigate Kaehler integral submanifolds of almost α-cosymplectic manifolds. …”
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Cohomology of semi-invariant submanifolds of cosymplectic manifolds by Ramazan Sarı

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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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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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