pith. sign in

arxiv: 1503.03056 · v1 · pith:CZLHC7T7new · submitted 2015-03-10 · 🧮 math.GT · math.DG

Deformations of Lagrangian Type Submanifolds inside G2 manifolds

classification 🧮 math.GT math.DG
keywords submanifoldsdeformationsinsidemanifoldsmoothspaceclosedcompact
0
0 comments X
read the original abstract

3-dimensional Harvey Lawson submanifolds were introduced in an earlier paper by Akbulut-Salur, as examples of Lagrangian-type manifolds inside G2 manifold. In this paper, we first show that the space of deformations of a smooth, compact, orientable Harvey-Lawson submanifold HL in a G2 manifold M can be identified with the direct sum of the space of smooth functions and closed 2-forms on HL. We then introduce a new class of Lagrangian-type 4-dimensional submanifolds inside G2, call them RS submanifolds and prove that the space of deformations of a smooth, compact, orientable RS submanifold in a G2 manifold M can be identified with closed 3-forms on RS.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.