Quaternionic Kahler manifolds of cohomogeneity one by Dancer, A, Swann, A

MODULI SPACE OF CALABI-YAU MANIFOLDS by Candelas, P, Delaossa, X

“…It is also shown that each of these spaces is itself a Kähler manifold and is moreover a Kähler manifold of restricted type. …”

M-theory compactification, fluxes, and AdS(4) by Lukas, A, Saffin, P

“…We find explicit local solutions with singlet flux and the space being a warped product of a circle, a nearly Kähler manifold and AdS4. The embedding of solutions into heterotic M-theory is also discussed. © 2005 The American Physical Society.…”

The rhombic dodecahedron and semisimple actions of Aut(F-n) on CAT (0) spaces by Bridson, M

“…If n ≥ 2 then neither Aut(Fn) nor Out(F n) is the fundamental group of a compact Kähler manifold. © Instytut Matematyczny PAN, 2011.…”

On Type IIA AdS3 solutions and massive GK geometries by Couzens, C, Macpherson, NT, Passias, A

“…We narrow our focus to solutions for which M₇ becomes 𝕋2 fibred over a foliation of a Kähler manifold over an interval. We find a class of solutions which are the massive Type IIA version of GK geometries and present an extremal problem which computes the central charge of the solution using just topology. …”

M5-branes on S2 × M4: Nahm’s equations and 4d topological sigma-models by Assel, B, Schäfer-Nameki, S, Wong, J

“…In the special case, when M4 is a Hyper-Kähler manifold, we show that the dimensional reduction gives rise to a topological sigma-model based on tri-holomorphic maps. …”

Brane quantization of toric Poisson varieties by Bischoff, F, Gualtieri, M

“…In this paper we propose a noncommutative generalization of the relationship between compact Kähler manifolds and complex projective algebraic varieties. …”

Moret-Bailly families and non-liftable schemes by Rössler, D, Schröer, S

“…Our approach heavily relies on local unipotent group schemes, the Beauville–Bogomolov Decomposition for Kähler manifolds with c1 = 0, and equivariant deformation theory in mixed characteristics.…”

From minimal Lagrangian to J-minimal submanifolds: persistence and uniqueness by Lotay, J, Pacini, T

“…More generally, the same is true for the larger class of totally real J-minimal submanifolds in Kähler manifolds with negative definite Ricci curvature.…”

Metric geometries over the split quaternions by Dancer, A, Jørgensen, H, Swann, A

“…In particular, we discuss the twistor spaces and Swann bundles of para-quaternionic Kähler manifolds. These are used to classify examples with a fully homogeneous action of a semi-simple Lie group, and to construct distinct para-quaternionic Kähler metrics from indefinite real analytic conformal manifolds. …”

G-structures and domain walls in heterotic theories by Lukas, A, Matti, C

“…They are found to be generalized half-flat manifolds with a particular pattern of torsion classes and they include half-flat manifolds and Strominger's complex non-Kahler manifolds as special cases. We also verify that previous heterotic compactifications on half-flat mirror manifolds are based on this class of solutions. © SISSA 2011.…”

From Lagrangian to totally real geometry: coupled flows and calibrations by Lotay, J, Pacini, T

“…We discuss short-time existence for our flow and show it couples well with the Streets–Tian symplectic curvature flow for almost Kähler manifolds. We also discuss possible applications to Lagrangian submanifolds and calibrated geometry. …”

Baryonic branches and resolutions of Ricci-flat Kahler cones by Martelli, D, Sparks, J

“…Such baryonic branches are constructed from (partially) resolved, asymptotically conical Ricci-flat Kähler manifolds, together with a choice of point where the stack of D3-branes is placed. …”

Zero point fluctuations for magnetic spirals and Skyrmions, and the fate of the Casimir energy in the continuum limit by Doucot, B, Kovrizhin, D, Moessner, R

“…For the former, we extend our previous results on quantum exactness of classical Bogomolny–Prasad–Sommerfield (BPS) ground-state degeneracies to the general case of Kähler manifolds, with a specific example of Grassmann manifolds . …”