Results 41 to 50 of about 2,174 (122)

Continuity of HYM connections with respect to metric variations

Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.
Abstract We investigate the set of (real Dolbeault classes of) balanced metrics Θ$\Theta$ on a balanced manifold X$X$ with respect to which a torsion‐free coherent sheaf E$\mathcal {E}$ on X$X$ is slope stable. We prove that the set of all such [Θ]∈Hn−1,n−1(X,R)$[\Theta] \in H^{n - 1,n - 1}(X,\mathbb {R})$ is an open convex cone locally defined by a ...
Rémi Delloque
wiley   +1 more source

Yang-Mills instantons in Kaehler spaces with one holomorphic isometry

, 2017
We consider self-dual Yang-Mills instantons in 4-dimensional Kaehler spaces with one holomorphic isometry and show that they satisfy a generalization of the Bogomol'nyi equation for magnetic monopoles on certain 3-dimensional metrics.
Chimento, Samuele, Ortin, Tomas, Ruiperez, Alejandro   +2 more
core   +2 more sources

Simply connected positive Sasakian 5‐manifolds

Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.
Abstract We investigate closed simply connected 5‐manifolds capable of hosting positive Sasakian structures. We present a conjectural comprehensive list of such manifolds.
Dasol Jeong, Jihun Park, Joonyeong Won
wiley   +1 more source

A decomposition theorem for $\mathbb{Q}$-Fano Kähler–Einstein varieties

Comptes Rendus. Mathématique
Let $X$ be a $\mathbb{Q}$-Fano variety admitting a Kähler–Einstein metric. We prove that up to a finite quasi-étale cover, $X$ splits isometrically as a product of Kähler–Einstein $\mathbb{Q}$-Fano varieties whose tangent sheaf is stable with respect to ...
Druel, Stéphane, Guenancia, Henri, Păun, Mihai   +2 more
doaj   +1 more source

Equidistribution of zeros of holomorphic sections in the non compact setting

, 2012
We consider N-tensor powers of a positive Hermitian line bundle L over a non-compact complex manifold X. In the compact case, B. Shiffman and S. Zelditch proved that the zeros of random sections become asymptotically uniformly distributed with respect to
A. Andreotti, A. Andreotti, A. Andreotti, A. Borel, A. Fujiki, A. Nadel, B. Shiffman, B. Shiffman, D. Catlin, E. Bogomolny, G. Tian, G. Tian, George Marinescu, H. Triebel, I. Satake, J.E. Fornæss, J.H. Hannay, J.M. Bismut, J.P. Demailly, L.A. Shepp, M. Méo, M. Sodin, N. Mok, N. Mok, P. Bleher, P. Bleher, P. Griffiths, P.D. Nelson, R. Holowinsky, R. Kobayashi, R.J. Berman, S. Nonnenmacher, S. Zelditch, S.Y. Cheng, T. Bloom, T.C. Dinh, T.C. Dinh, Tien-Cuong Dinh, V. Vâjâitu, Viktoria Schmidt, W.D. Ruan, W.L. Baily, X. Ma, X. Ma, Z. Rudnick, Z. Rudnick   +45 more
core   +1 more source

Some applications of canonical metrics to Landau–Ginzburg models

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract It is known that a given smooth del Pezzo surface or Fano threefold X$X$ admits a choice of log Calabi–Yau compactified mirror toric Landau–Ginzburg model (with respect to certain fixed Kähler classes and Gorenstein toric degenerations).
Jacopo Stoppa
wiley   +1 more source

Pair of Associated η-Ricci–Bourguignon Almost Solitons with Vertical Potential on Sasaki-like Almost Contact Complex Riemannian Manifolds

Mathematics
The manifolds studied are almost contact complex Riemannian manifolds, known also as almost contact B-metric manifolds. They are equipped with a pair of pseudo-Riemannian metrics that are mutually associated to each other using an almost contact ...
Mancho Manev
doaj   +1 more source

Mabuchi Kähler solitons versus extremal Kähler metrics and beyond

Bulletin of the London Mathematical Society, Volume 57, Issue 3, Page 692-710, March 2025.
Abstract Using the Yau–Tian–Donaldson type correspondence for v$v$‐solitons established by Han–Li, we show that a smooth complex n$n$‐dimensional Fano variety admits a Mabuchi soliton provided it admits an extremal Kähler metric whose scalar curvature is strictly less than 2(n+1)$2(n+1)$.
Vestislav Apostolov, Abdellah Lahdili, Yasufumi Nitta   +2 more
wiley   +1 more source

Ricci–Bourguignon Almost Solitons with Special Potential on Sasaki-like Almost Contact Complex Riemannian Manifolds

Mathematics
Almost contact complex Riemannian manifolds, also known as almost contact B-metric manifolds, are equipped with a pair of pseudo-Riemannian metrics that are mutually associated with each other using the tensor structure. Here, we consider a special class
Mancho Manev
doaj   +1 more source

On the stability of Einstein manifolds

, 2014
Certain curvature conditions for stability of Einstein manifolds with respect to the Einstein-Hilbert action are given. These conditions are given in terms of quantities involving the Weyl tensor and the Bochner tensor.
Kroencke, Klaus
core   +1 more source