Benjamin Aslan

activity

20212023

most citedSpecial Lagrangians in nearly Kähler

CP^{3}

7 citations · 10 across the 4 of their papers we have counts for

collaborators

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math.DG2023★ 1 cited

Calibrated Geometry in Hyperkahler Cones, 3-Sasakian Manifolds, and Twistor Spaces

Benjamin Aslan, Spiro Karigiannis, Jesse Madnick

We systematically study calibrated geometry in hyperkähler cones $C^{4 n + 4}$ , their 3-Sasakian links $M^{4 n + 3}$ , and the corresponding twistor spaces $Z^{4 n + 2}$ , emphasizing the rel…

math.DG2023

On $G_{2}$ manifolds with cohomogeneity two symmetry

Benjamin Aslan, Federico Trinca

We consider $G_{2}$ manifolds with a cohomogeneity two $T^{2} \times SU (2)$ symmetry group. We give a local characterization of these manifolds and we describe the geo…

math.DG2022★ 7 cited

Special Lagrangians in nearly Kähler $CP^{3}$

Benjamin Aslan

This article explores special Lagrangian submanifolds in $CP^{3}$ , viewed as a nearly Kähler manifold, from two different perspectives. Intrinsically, using a moving frame s…

math.DG2021

Transverse $J$ -holomorphic curves in nearly Kähler $CP^{3}$

Benjamin Aslan

$J$ -holomorphic curves in nearly Kähler $CP^{3}$ are related to minimal surfaces in $S^{4}$ as well as associative submanifolds in $Λ_{-}^{2} (S^{4})$ . We introduce the class of tran…

Calibrated Geometry in Hyperkahler Cones, 3-Sasakian Manifolds, and Twistor Spaces

On G2​ manifolds with cohomogeneity two symmetry

Special Lagrangians in nearly Kähler CP3

Transverse J-holomorphic curves in nearly Kähler CP3

On $G_{2}$ manifolds with cohomogeneity two symmetry

Special Lagrangians in nearly Kähler $CP^{3}$

Transverse $J$ -holomorphic curves in nearly Kähler $CP^{3}$