Zuzanna Szancer

activity

20172026

most cited

J

-tangent affine hypersurfaces with an induced almost paracontact structure

1 citations · 1 across the 5 of their papers we have counts for

collaborators

8 papers

math.DG2026

A Note on the Classification of Centroaffine Hypersurfaces

Zuzanna Szancer

Cao and Wang recently classified a class of locally strongly convex centroaffine hypersurfaces whose non-vanishing Tchebychev vector field $T$ satisfies $K (T, X) = α X$ and $X (α) = 0$ fo…

math.DG2026

Contact variation of almost contact pseudo-metric structures

Aleksandra Borówka, Zuzanna Szancer

For an almost contact pseudo-metric manifold we study a variation of the metric in the spirit of Meli-Ngakeu-Olea. Such variation is defined using a vector field on the manifold an…

math.DG2021

Affine hypersurfaces of arbitrary signature with an almost symplectic form

Michal Szancer, Zuzanna Szancer

In this paper we study affine hypersurfaces with non-degenerate second fundamental form of arbitrary signature additionally equipped with an almost symplectic structure $ω$ . We pro…

math.DG2018

On $4$ -dimensional Lorentzian affine hypersurfaces with an almost symplectic form

Michal Szancer, Zuzanna Szancer

In this paper we study $4$ -dimensional affine hypersurfaces with a Lorentzian second fundamental form additionally equipped with an almost symplectic structure $ω$ . We prove that t…

math.DG2018

Parallel Almost Paracontact Structures on Affine Hypersurfaces

Zuzanna Szancer

Let $J$ be the canonical para-complex structure on $R^{2 n + 2} ≃ C^{n + 1}$ . We study real affine hypersurfaces $f\colon M\rightarrow \wide…

math.DG2018

On $3$ -dimensional $J$ -tangent centro-affine hypersurfaces and $J$ -tangent affine hyperspheres with some null-directions

Zuzanna Szancer

Let $J$ be the canonical para-complex structure on $R^{4}$ . In this paper we study $3$ -dimensional centro-affine hypersurfaces with a $J$ -tangent cen…

math.DG2018

On $J$ -tangent affine hyperspheres

Zuzanna Szancer

In this paper we study $J$ -tangent affine hyperspheres, where $J$ is the canonical para-complex structure on $R^{2 n + 2}$ . The main purpose of this p…

math.DG2017★ 1 cited

$J$ -tangent affine hypersurfaces with an induced almost paracontact structure

Zuzanna Szancer

We study real affine hypersurfaces $f : M \to R^{2 n + 2}$ with an almost paracontact structure $(φ, ξ, η)$ induced by a $J$ -tangent transversal vector f…

A Note on the Classification of Centroaffine Hypersurfaces

Contact variation of almost contact pseudo-metric structures

Affine hypersurfaces of arbitrary signature with an almost symplectic form

On 4-dimensional Lorentzian affine hypersurfaces with an almost symplectic form

Parallel Almost Paracontact Structures on Affine Hypersurfaces

On 3-dimensional J-tangent centro-affine hypersurfaces and J-tangent affine hyperspheres with some null-directions

On J-tangent affine hyperspheres

J-tangent affine hypersurfaces with an induced almost paracontact structure

On $4$ -dimensional Lorentzian affine hypersurfaces with an almost symplectic form

On $3$ -dimensional $J$ -tangent centro-affine hypersurfaces and $J$ -tangent affine hyperspheres with some null-directions

On $J$ -tangent affine hyperspheres

$J$ -tangent affine hypersurfaces with an induced almost paracontact structure