{
  "id": "1503.03056",
  "version": "v1",
  "published": "2015-03-10T19:55:53.000Z",
  "updated": "2015-03-10T19:55:53.000Z",
  "title": "Deformations of Lagrangian Type Submanifolds inside G2 manifolds",
  "authors": [
    "Rebecca Glover",
    "Sema Salur"
  ],
  "comment": "9 pages, LaTex. This paper is dedicated to the memory of Ruth I. Michler",
  "categories": [
    "math.GT",
    "math.DG"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-10T19:55:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C38",
      "53C29",
      "57R57"
    ],
    "keywords": [
      "lagrangian type submanifolds inside g2",
      "type submanifolds inside g2 manifolds",
      "deformations",
      "lagrangian-type manifolds inside g2 manifold",
      "rs submanifold"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}