Results 51 to 60 of about 14,803 (150)
On the zero set of the holomorphic sectional curvature
Mathematische NachrichtenA notable example due to Heier, Lu, Wong, and Zheng shows that there exist compact complex Kähler manifolds with ample canonical line bundle such that the holomorphic sectional curvature is negative semi‐definite and vanishes along high‐dimensional ...
Yongchang Chen, Gordon Heier
semanticscholar +1 more source
WDVV‐based recursion for open Gromov–Witten invariants
Journal of Topology, Volume 19, Issue 1, March 2026.Abstract We give a computability result for open Gromov–Witten invariants based on open Witten–Dijkgraaf–Verlinde–Verlinde (WDVV) equations. This is analogous to the result of Kontsevich–Manin for closed Gromov–Witten invariants. For greater generality, we base the argument on a formal object, the Frobenius superpotential, that generalizes several ...
Roi Blumberg, Sara B. Tukachinsky
wiley +1 more source
Dimer models and conformal structures
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
wiley +1 more source
Contact CR $ \delta $-invariant: an optimal estimate for Sasakian statistical manifolds
AIMS MathematicsChen (1993) developed the theory of $ \delta $-invariants to establish novel necessary conditions for a Riemannian manifold to allow a minimal isometric immersion into Euclidean space. Later, Siddiqui et al.
Aliya Naaz Siddiqui +2 more
doaj +1 more source
Strongly pseudo-convex CR space forms
Complex Manifolds, 2019 For a contact manifold, we study a strongly pseudo-convex CR space form with constant holomorphic sectional curvature for the Tanaka-Webster connection.
Cho Jong Taek
doaj +1 more source
The DNA of Calabi–Yau Hypersurfaces
Fortschritte der Physik, Volume 74, Issue 2, February 2026.Abstract Genetic Algorithms are implemented for triangulations of four‐dimensional reflexive polytopes, which induce Calabi–Yau threefold hypersurfaces via Batyrev's construction. These algorithms are shown to efficiently optimize physical observables such as axion decay constants or axion–photon couplings in string theory compactifications.
Nate MacFadden +2 more
wiley +1 more source
On the curvature of Einstein-Hermitian surfaces
, 2018 We give a mathematical exposition of the Page metric, and introduce an efficient coordinate system for it. We carefully examine the submanifolds of the underlying smooth manifold, and show that the Page metric does not have positive holomorphic ...
Kalafat, Mustafa, Koca, Caner
core +1 more source
Witten genera of complete intersections
Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.Abstract We prove vanishing results for Witten genera of string generalized complete intersections in homogeneous Spinc$\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
Families of singular algebraic varieties that are rationally elliptic spaces
Mathematische Nachrichten, Volume 299, Issue 1, Page 214-223, January 2026.Abstract We discuss families of hypersurfaces with isolated singularities in projective space with the property that the sum of the ranks of the rational homotopy and the homology groups is finite. They represent infinitely many distinct homotopy types with all hypersurfaces having a nef canonical or anti‐canonical class.
A. Libgober
wiley +1 more source
Optimal inequalities involving Casorati curvatures for Riemannian maps to nearly Kaehler manifolds
Journal of Inequalities and ApplicationsWe establish a general inequality and optimal inequalities involving the normalized Casorati curvatures and the generalized normalized Casorati curvatures within the horizontal space of a Riemannian map from a Riemannian manifold to a nearly Kaehler ...
Tanveer Fatima +5 more
doaj +1 more source