Results 81 to 90 of about 87,863 (252)

Ricci-flat manifolds of generalized ALG asymptotics

, 2022
In complex dimensions $\geq 3$, we provide a geometric existence for generalized ALG complete non-compact Ricci flat Kähler manifolds with Schwartz decay i.e. metric decay in any polynomial rate to an ALG model $\mathbb{C}\times Y$ modulo finite cyclic group action, where $Y$ is Calabi-Yau.
openaire   +2 more sources

Removing scalar curvature assumption for Ricci flow smoothing

Bulletin of the London Mathematical Society, EarlyView.
Abstract In recent work of Chan–Huang–Lee, it is shown that if a manifold enjoys uniform bounds on (a) the negative part of the scalar curvature, (b) the local entropy, and (c) volume ratios up to a fixed scale, then there exists a Ricci flow for some definite time with estimates on the solution assuming that the local curvature concentration is small ...
Adam Martens
wiley   +1 more source

On Pseudo Cyclic Ricci Symmetric Manifolds

Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2011
: The object of the present paper is to study concircularly symmetric (PCRS)n, concircularly recurrent (PCRS)n, decomposable (PCRS)n. Among others it is shown that in a decomposable (PCRS)n one of the decompositions is Ricci flat and the other ...
Shyamal Hui
doaj  

ζ-Conformally Flat LP-Kenmotsu Manifolds and Ricci–Yamabe Solitons

Mathematics, 2022
In the present paper, we characterize m-dimensional ζ-conformally flat LP-Kenmotsu manifolds (briefly, (LPK)m) equipped with the Ricci–Yamabe solitons (RYS) and gradient Ricci–Yamabe solitons (GRYS).
Abdul Haseeb, Mohd Bilal, Sudhakar K. Chaubey, Abdullah Ali H. Ahmadini   +3 more
doaj   +1 more source

On 4-dimensional Ricci-flat ALE manifolds

, 2023
Several computation mistakes ...
openaire   +2 more sources

Evaluation of the ADM mass and center of mass via the Ricci tensor

, 2015
We prove directly without using a density theorem that (i) the ADM mass defined in the usual way on an asymptotically flat manifold is equal to the mass defined intrinsically using Ricci tensor; (ii) the Hamiltonian formulation of center of mass and the ...
Miao, Pengzi, Tam, Luen-Fai
core   +1 more source

On the isoperimetric Riemannian Penrose inequality

Communications on Pure and Applied Mathematics, Volume 78, Issue 5, Page 1042-1085, May 2025.
Abstract We prove that the Riemannian Penrose inequality holds for asymptotically flat 3‐manifolds with nonnegative scalar curvature and connected horizon boundary, provided the optimal decay assumptions are met, which result in the ADM$\operatorname{ADM}$ mass being a well‐defined geometric invariant.
Luca Benatti, Mattia Fogagnolo, Lorenzo Mazzieri   +2 more
wiley   +1 more source

The Impact of Quasi-Conformal Curvature Tensor on Warped Product Manifolds

Axioms
This 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, Sameh Shenawy, Uday Chand De, Alaa Rabie, Nasser Bin Turki   +4 more
doaj   +1 more source

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
doaj   +1 more source

A Kummer construction for Chern–Ricci flat balanced manifolds

Mathematische Zeitschrift
AbstractGiven a non-Kähler Calabi–Yau compact orbifold with isolated singularities endowed with a Chern–Ricci flat balanced metric, we study, via a gluing construction, the existence of Chern–Ricci flat balanced metrics on its crepant resolutions, and discuss applications to the search of solutions for the Hull–Strominger system.
Giusti, Federico, Spotti, Cristiano
openaire   +5 more sources