17 citations · 39 across the 8 of their papers we have counts for
6 papers · 1 filter
McLean's second variation formula revisited
Hông Vân Lê, Jirí Vanzura
We revisit McLean's second variation formulas for calibrated submanifolds in exceptional geometries, and correct his formulas concerning associative submanifolds and Cayley submani…
Poisson smooth structures on stratified symplectic spaces
Hong Van Le, Petr Somberg, Jiri Vanzura
In this paper we introduce the notion of a smooth structure on a stratified space, the notion of a Poisson smooth structure and the notion of a weakly symplectic smooth structure o…
Smooth structures on pseudomanifolds with isolated conical singularities
Hong Van Le, Petr Somberg, Jiri Vanzura
In this note we introduce the notion of a smooth structure on a conical pseudomanifold in terms of -rings of smooth functions on . For a finitely generated smooth…
Manifolds admitting stable forms
Hong-Van Le, Martin Panak, Jiri Vanzura
In this note we give a direct method to classify all stable forms on as well as to determine their automorphism groups. We show that in dimension 6,7,8 stable forms coincide…
Unified treatment of multisymplectic 3-forms in dimension 6
J. Bures, J. Vanzura
On a 6-dimensional real vector space there are three types of multisymplectic 3-forms. We present in this paper a unified treatment of these three types. Forms of each type rep…
3-forms and almost complex structures on 6-dimensional manifolds
Martin Panak, Jiri Vanzura
This article deals with 3-forms on 6-dimensional manifodls, the first dimension where the classification of 3-forms is not trivial. There are three classes of multisymplectic 3-for…