Results 21 to 30 of about 1,451 (107)

Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the String‐Theoretical Swampland Programme

open access: yesFortschritte der Physik, Volume 74, Issue 4, April 2026.
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley   +1 more source

A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
wiley   +1 more source

Structural properties of the sets of positively curved Riemannian metrics on generalized Wallach spaces

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы
In the present paper sets related to invariant Riemannian metrics of positive sectional and (or) Ricci curvature on generalized Wallach spaces are considered.
N.A. Abiev
doaj   +1 more source

Witten genera of complete intersections

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.
Abstract We prove vanishing results for Witten genera of string generalized complete intersections in homogeneous Spinc$\text{Spin}^c$‐manifolds and in other Spinc$\text{Spin}^c$‐manifolds with Lie group actions. By applying these results to Fano manifolds with second Betti number equal to one we get new evidence for a conjecture of Stolz.
Michael Wiemeler
wiley   +1 more source

η-Ricci Solitons on Weak β-Kenmotsu f-Manifolds

open access: yesMathematics
Recent interest among geometers in f-structures of K. Yano is due to the study of topology and dynamics of contact foliations, which generalize the flow of the Reeb vector field on contact manifolds to higher dimensions. Weak metric structures introduced
Vladimir Rovenski
doaj   +1 more source

The cosymplectic Chern–Hamilton conjecture

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract In this paper, we study the Chern–Hamilton energy functional on compact cosymplectic manifolds, fully classifying in dimension 3 those manifolds admitting a critical compatible metric for this functional. This is the case if and only if either the manifold is co‐Kähler or if it is a mapping torus of the 2‐torus by a hyperbolic toral ...
Søren Dyhr   +3 more
wiley   +1 more source

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

open access: yesMathematics
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

On Quasistatistical F‐Connections on the Anti‐Kähler Manifolds

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
The paper focuses on investigating a specific type of quasistatistical F‐connections within the context of an anti‐Kähler manifold. Initially, the paper establishes a connection between the Riemannian connection and the specialized quasistatistical F‐connection.
Cagri Karaman   +4 more
wiley   +1 more source

A Brunn-Minkowski type inequality for Fano manifolds and some uniqueness theorems in K\"ahler geometry

open access: yes, 2015
For $\phi$ a metric on the anticanonical bundle, $-K_X$, of a Fano manifold $X$ we consider the volume of $X$ $$ \int_X e^{-\phi}. $$ We prove that the logarithm of the volume is concave along bounded geodesics in the space of positively curved metrics ...
Berndtsson, Bo
core   +1 more source

The three‐dimensional Seiberg–Witten equations for 3/2$3/2$‐spinors: A compactness theorem

open access: yesMathematische Nachrichten, Volume 298, Issue 10, Page 3331-3375, October 2025.
Abstract The Rarita‐Schwinger–Seiberg‐Witten (RS–SW) equations are defined similarly to the classical Seiberg–Witten equations, where a geometric non–Dirac‐type operator replaces the Dirac operator called the Rarita–Schwinger operator. In dimension 4, the RS–SW equation was first considered by the second author (Nguyen [J. Geom. Anal. 33(2023), no. 10,
Ahmad Reza Haj Saeedi Sadegh   +1 more
wiley   +1 more source

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