Algebraic conditions identify special Lagrangian distributions in non-Kähler Calabi-Yau manifolds; explicit examples on Iwasawa and Nakamura manifolds yield non-diffeomorphic semi-flat SYZ mirror pairs.
Title resolution pending
7 Pith papers cite this work. Polarity classification is still indexing.
7
Pith papers citing it
verdicts
UNVERDICTED 7representative citing papers
For M diffeomorphic to CP^n with scal_g ≥ 4n(n+1), sys_2^st(M,g) ≤ π with equality only for the Fubini-Study metric.
Constructs imaginary special Lagrangian cylinders near Maslov 0 or n intersections to obtain geodesics of positive Lagrangians and proves C^{1,1} regularity persistence under endpoint perturbations.
H-structures on closed manifolds are homotopy equivalent to their isometric classes via surjective metric map with lifting property, reducing to mapping spaces on parallelizable manifolds like tori, with applications to torsion energy flows.
Computes the right spectrum of the canonical G2-equivariant operator h, yielding slice-independent quartic curves and circles via SU(3) block decomposition after fixing complex slices in O.
A new extension-based construction produces strictly asymptotically Z-stable rank 3 bundles on polycyclic projective surfaces, plus a Hoppe-style criterion for rank 2 bundles.
A gluing theorem for ACyl associative submanifolds produces closed rigid associatives in twisted connected sum G2-manifolds with topologies S^3, RP^3 and RP^3#RP^3.
citing papers explorer
-
Non-K\"ahler Special Lagrangian submanifolds and SYZ mirror symmetry
Algebraic conditions identify special Lagrangian distributions in non-Kähler Calabi-Yau manifolds; explicit examples on Iwasawa and Nakamura manifolds yield non-diffeomorphic semi-flat SYZ mirror pairs.
-
Stable $2$-systoles, scalar curvature and spin$^c$ comass bounds
For M diffeomorphic to CP^n with scal_g ≥ 4n(n+1), sys_2^st(M,g) ≤ π with equality only for the Fubini-Study metric.
-
Special Lagrangian webbing
Constructs imaginary special Lagrangian cylinders near Maslov 0 or n intersections to obtain geodesics of positive Lagrangians and proves C^{1,1} regularity persistence under endpoint perturbations.
-
Topology of isometric classes and flows of geometric structures
H-structures on closed manifolds are homotopy equivalent to their isometric classes via surjective metric map with lifting property, reducing to mapping spaces on parallelizable manifolds like tori, with applications to torsion energy flows.
-
Octonionic structure operator and its right spectrum
Computes the right spectrum of the canonical G2-equivariant operator h, yielding slice-independent quartic curves and circles via SU(3) block decomposition after fixing complex slices in O.
-
Asymptotically Z-stable bundles over projective surfaces
A new extension-based construction produces strictly asymptotically Z-stable rank 3 bundles on polycyclic projective surfaces, plus a Hoppe-style criterion for rank 2 bundles.
-
Associative submanifolds in twisted connected sum $G_2$-manifolds
A gluing theorem for ACyl associative submanifolds produces closed rigid associatives in twisted connected sum G2-manifolds with topologies S^3, RP^3 and RP^3#RP^3.