Results 11 to 20 of about 87 (82)

Non-Existence of Real Hypersurfaces with Parallel Structure Jacobi Operator in S⁶(1)

Mathematics, 2022
It is well known that the sphere S6(1) admits an almost complex structure J which is nearly Kähler. If M is a hypersurface of an almost Hermitian manifold with a unit normal vector field N, the tangent vector field ξ=−JN is said to be characteristic or ...
Miroslava Antić, Djordje Kocić
doaj   +1 more source

Geometry of concircular curvature tensor of Kahler manifolds

Tikrit Journal of Pure Science, 2020
The study deals with the necessary condition where a nearly Kahler manifold of flat concircular tensor has been found. And the relationship between these invariants and additional properties of symmetry concircular tensor, as well as geometrical meaning
Rawah A. Zaben, Rana H. Jasim
doaj   +1 more source

Consistent truncation with dilatino condensation on nearly Kähler and Calabi-Yau manifolds

Journal of High Energy Physics, 2019
We construct a consistent four-scalar truncation of ten-dimensional IIA supergravity on nearly Kähler spaces in the presence of dilatino condensates. The truncation is universal, i.e.
Robin Terrisse, Dimitrios Tsimpis
doaj   +1 more source

GENERELIZED CONHARMONIC CURVATURE TENSOR OF NEARLY KAHLER MANIFOLD

Tikrit Journal of Pure Science, 2018
In this paper we study the relationship between tensor algebraic curvature tensor, and General conharmonic curvature tensor of Nearly Kahler manifold, i. e. it has a classical symmetry properties of the Riemann carvatur tensor.
Ali A. Shihab, Dhabiaʼa M. Ali
doaj   +1 more source

Local multiplicativity of perverse filtrations

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract Let f:S→C$f:S\rightarrow C$ be a proper surjective morphism from a smooth Kähler surface to a smooth curve. We show that the local perverse filtration associated with the induced map S[n]→C(n)$S^{[n]}\rightarrow C^{(n)}$ is multiplicative on each fiber if and only if f$f$ is an elliptic fibration.
Zili Zhang
wiley   +1 more source

Simple homotopy theory for Fukaya categories

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract We develop a categorical framework for simple homotopy theory in Fukaya categories, based on the fundamental group of the ambient symplectic manifold. When the first Chern class vanishes, we show that any isomorphism in the Fukaya category of a Weinstein manifold has trivial Whitehead torsion.
Yonghwan Kim
wiley   +1 more source

A trace–path integral formula over function fields

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract We show that an arithmetic path integral over the ℓ$\ell$‐torsion of a Jacobian J[ℓ]$J[\ell]$ is equal to the trace of the Frobenius action on a representation of the Heisenberg group H(J[ℓ])$H(J[\ell])$, up to an explicitly determined sign.
Yan Yau Cheng
wiley   +1 more source

Lefschetz decompositions of Kudla–Millson theta functions

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract In the 1980s Kudla and Millson introduced a theta function in two variables. It behaves as a Siegel modular form with respect to the first variable, and is a closed differential form on an orthogonal Shimura variety X$X$ with respect to the other variable. We prove that the Lefschetz decomposition of the cohomology class of that theta function
Jan Hendrik Bruinier, Riccardo Zuffetti
wiley   +1 more source

The asymptotic Mahler measure of Gaussian periods

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We construct a sequence of cyclotomic integers (Gaussian periods) of particularly small Mahler measure/height. We study the asymptotics of their Mahler measure as a function of their conductor, to find that the growth rate is the (multivariate) Mahler measure of a family of log Calabi–Yau varieties of increasing dimension.
Gunther Cornelissen, David Hokken, Berend Ringeling   +2 more
wiley   +1 more source

Weak Nearly $\mathcal{S}$- and Weak Nearly $\mathcal{C}$-Manifolds

Mathematics
The recent interest in geometers in the f-structures of K. Yano is motivated by the study of the dynamics of contact foliations, as well as their applications in theoretical physics.
Vladimir Rovenski
doaj   +1 more source