Results 71 to 80 of about 345 (143)
Global eigenfamilies on closed manifolds
Journal of the London Mathematical Society, Volume 112, Issue 2, August 2025.Abstract We study globally defined (λ,μ)$(\lambda,\mu)$‐eigenfamilies on closed Riemannian manifolds. Among others, we provide (non‐)existence results for such eigenfamilies, examine topological consequences of the existence of eigenfamilies and classify (λ,μ)$(\lambda,\mu)$‐eigenfamilies on flat tori. It is further shown that for f=f1+if2$f=f_1+i f_2$
Oskar Riedler, Anna Siffert
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Slant Curves in Contact Lorentzian Manifolds with CR Structures
Mathematics, 2020 In this paper, we first find the properties of the generalized Tanaka−Webster connection in a contact Lorentzian manifold. Next, we find that a necessary and sufficient condition for the ∇ ^ -geodesic is a magnetic curve (for ∇ ...
Ji-Eun Lee
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Locally ϕ-Symmetric Generalized Sasakian-Space Forms [PDF]
Ukrainian Mathematical Journal, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sarkar, A., Sen, M.
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On the existence of critical compatible metrics on contact 3‐manifolds
Bulletin of the London Mathematical Society, Volume 57, Issue 1, Page 79-95, January 2025.Abstract We disprove the generalized Chern–Hamilton conjecture on the existence of critical compatible metrics on contact 3‐manifolds. More precisely, we show that a contact 3‐manifold (M,α)$(M,\alpha)$ admits a critical compatible metric for the Chern–Hamilton energy functional if and only if it is Sasakian or its associated Reeb flow is C∞$C^\infty ...
Y. Mitsumatsu +2 more
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Differentiable Manifolds and Geometric Structures
MathematicsThis editorial presents 26 research articles published in the Special Issue entitled Differentiable Manifolds and Geometric Structures of the MDPI Mathematics journal, which covers a wide range of topics particularly from the geometry of (pseudo ...
Adara M. Blaga
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Geometric Classifications of Perfect Fluid Space‐Time Admit Conformal Ricci‐Bourguignon Solitons
Journal of Mathematics, Volume 2024, Issue 1, 2024.This paper is dedicated to the study of the geometric composition of a perfect fluid space‐time with a conformal Ricci‐Bourguignon soliton, which is the extended version of the soliton to the Ricci‐Bourguignon flow. Here, we have delineated the conditions for conformal Ricci‐Bourguignon soliton to be expanding, steady, or shrinking.
Noura Alhouiti +6 more
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Structures on generalized Sasakian-space-forms
, 2008 In this paper, contact metric and trans-Sasakian generalized Sasakian-space-forms are deeply studied. We present some general results for manifolds with dimension greater than or equal to 5, and we also pay a special attention to the 3-dimensional ...
Alegre Rueda, Pablo Sebastián +1 more
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The Z‐Tensor on Almost Co‐Kählerian Manifolds Admitting Riemann Soliton Structure
Advances in Mathematical Physics, Volume 2024, Issue 1, 2024.A Riemann soliton (RS) is a natural generalization of a Ricci soliton structure on pseudo‐Riemannian manifolds. This work aims at investigating almost co‐Kählerian manifolds (ACKM) 2n+1 whose metrics are Riemann solitons utilizing the properties of the Z‐tensor.
Sunil Kumar Yadav +4 more
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On Bi-f-Harmonic Legendre Curves in Sasakian Space Forms
, 2022 In this study, we consider bi-f -harmonic Legendre curves in Sasakian space forms. Weinvestigate necessary and sufficient conditions for a Legendre curve to be bi-f -harmonic in various ...
Bozdağ, Serife Nur
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Biharmonic hypersurfaces in Sasakian space forms
Differential Geometry and its Applications, 2009 Biharmonic maps \(\phi: (M, g)\longrightarrow (N, h)\) between Riemannian manifolds are the critical points of the bienergy function \[ E_{2}(\phi) = \tfrac{1}{2}\int_{M}|\tau(\phi)|^{2}\nu_{g}, \] where \(\tau(\phi)\) is the tension field of \(\phi\) and \(\nu_{g}\) denotes the volume form. The vanishing of the tension field characterizes the harmonic
Fetcu, D., Oniciuc, C.
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