Results 81 to 90 of about 29,467 (233)
The Impact of Quasi-Conformal Curvature Tensor on Warped Product Manifolds
AxiomsThis work investigates the effects on the factor manifolds of a singly warped product manifold resulting from the presence of a quasi-conformally flat, quasi-conformally symmetric, or divergence-free quasi-conformal curvature tensor.
Bang-Yen Chen +4 more
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Pseudo-Reimannian manifolds endowed with an almost para f-structure
International Journal of Mathematics and Mathematical Sciences, 1985 Let M˜(U,Ω˜,η˜,ξ,g˜) be a pseudo-Riemannian manifold of signature (n+1,n). One defines on M˜ an almost cosymplectic para f-structure and proves that a manifold M˜ endowed with such a structure is ξ-Ricci flat and is foliated by minimal hypersurfaces ...
Vladislav V. Goldberg, Radu Rosca
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TWO-BODY PROBLEM IN KALUZA-KLEIN MODELS WITH RICCI-FLAT INTERNAL SPACES
Odessa Astronomical Publications, 2013 We consider the dynamics of a two-body system in the model with additional spatial dimensions compactified on a Ricci-flat manifold. To define the gravitational field of a system and to construct its Lagrange function we use the weak-field approach.
Alexey Chopovsky
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Quasi-local mass integrals and the total mass
, 2016 On asymptotically flat and asymptotically hyperbolic manifolds, by evaluating the total mass via the Ricci tensor, we show that the limits of certain Brown-York type and Hawking type quasi-local mass integrals equal the total mass of the manifold in all ...
Miao, Pengzi, Tam, Luen-Fai, Xie, Naqing
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Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
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Hausdorff perturbations of Ricci-flat manifolds and the splitting theorem
Duke Mathematical Journal, 1992 The author gives two counterexamples to 1) a topological splitting question for a normal neighborhood of a minimizing geodesic with nonnegative Ricci curvature (in contrast with the Cheeger-Gromoll global splitting theorem and the local Toponogov splitting in case of nonnegative sectional curvature).
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Complete Ricci-flat K�hler manifolds of infinite topological type
Communications in Mathematical Physics, 1989 \textit{G. Gibbons} and \textit{S. Hawking} [Gravitational multi-instantons, Phys. Lett. B 78, 430--432 (1978)] constructed families of complete Ricci- flat Kähler metrics on a class of non-compact 4-manifolds which are asymptotically locally Euclidean in a specified sense. Another description of these metrics was given by \textit{N.
Anderson, Michael T. +2 more
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On Non‐Compact Extended Bach Solitons
Mathematische Nachrichten, Volume 299, Issue 5, Page 1140-1151, May 2026.ABSTRACT We study the characterization of non‐compact solitons of the extended Bach flow, known as an extended Bach soliton. We prove that a weakly conformally flat extended Bach soliton (Mn,g,V)$(M^n,g,V)$ with harmonic Weyl tensor is Bach‐flat and the potential vector field V$V$ is conformal.
Rahul Poddar
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Energy and asymptotics of Ricci-flat 4-manifolds with a Killing field [PDF]
Proceedings of the American Mathematical Society, 2019 Given a complete, Ricci-flat 4-manifold with a Killing field, we give an estimate on the manifold's energy in terms of a certain asymptotic quantity of the Killing field. If the Killing field has no zeros and satisfies a certain asymptotic condition, the manifold is flat.
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ζ-Conformally Flat LP-Kenmotsu Manifolds and Ricci–Yamabe Solitons [PDF]
, 2022 Abdul Haseeb +3 more
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