Results 51 to 60 of about 21,501 (172)

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

Holomorphic field theories and higher algebra

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley   +1 more source

Stability of non-supersymmetric vacua from calibrations

Journal of High Energy Physics
Supersymmetric vacua are protected from vacuum decay by energy positivity. No such argument is known for any non-supersymmetric vacua. In this paper, we try to extend to the latter a simpler argument based on calibrations, to at least protect them from ...
Vincent Menet, Alessandro Tomasiello
doaj   +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

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

Quasi conformally flat quasi Einstein Weyl manifolds

, 2022
The aim of this work is to study on quasi conformally flat quasi Einstein-Weyl manifolds. In this book chapter, firrstly, an interesting relationship between complementary vector field and generator of the quasi Einstein-Weyl manifold is obtained and ...
NURCAN, AYŞE FÜSUN
core  

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

Kähler-Ricci flow on projective bundles over Kähler-Einstein manifolds

, 2014
We study the Kähler-Ricci flow on a class of projective bundles ℙ(OΣ ⊕ L) over the compact Kähler-Einstein manifold Σn. Assuming the initial Kähler metric ω0 admits a U(1)-invariant momentum profile, we give a criterion, characterized by the triple (Σ, L,
Fong, Frederick Tsz Ho
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

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