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authorMartin Czygan <martin.czygan@gmail.com>2020-11-24 16:06:24 +0100
committerMartin Czygan <martin.czygan@gmail.com>2020-11-24 16:06:24 +0100
commit29738fd2d1d1af07b93018d0ec7be0bf9dc35bc5 (patch)
treeca7cb785a72ce5f7e89a5b69e03dc8a973efb9dc /tests/fixtures/release/rsjv7rxzuzdptmfn7orwxr7n6q
parentea41317e6765b18310c9e8ba830d75bbe758f854 (diff)
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fuzzycat-29738fd2d1d1af07b93018d0ec7be0bf9dc35bc5.zip
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+{
+ "abstracts": [
+ {
+ "content": "The area renormalization procedure gives an invariant of even-dimensional\nclosed submanifolds in a conformal manifold, which we call the Graham-Witten\nenergy, and it is a generalization of the classical Willmore energy. In this\npaper, we obtain an explicit formula for the second variation of this energy at\nminimal submanifolds in an Einstein manifold. As an application, we prove that\nthe even-dimensional totally geodesic spheres in the unit sphere are critical\npoints of the Graham-Witten energy with non-negative second variation.",
+ "lang": "en",
+ "mimetype": "text/plain",
+ "sha1": "0f031d5872ea960d5708b8adaa67db52eb269e7a"
+ }
+ ],
+ "contribs": [
+ {
+ "index": 0,
+ "raw_name": "Yuya Takeuchi",
+ "role": "author"
+ }
+ ],
+ "ext_ids": {
+ "arxiv": "1807.06307v2"
+ },
+ "extra": {
+ "arxiv": {
+ "base_id": "1807.06307",
+ "categories": [
+ "math.DG",
+ "hep-th"
+ ],
+ "comments": "10 pages, typos corrected"
+ }
+ },
+ "ident": "rsjv7rxzuzdptmfn7orwxr7n6q",
+ "language": "en",
+ "license_slug": "ARXIV-1.0",
+ "refs": [],
+ "release_date": "2018-08-07",
+ "release_stage": "submitted",
+ "release_type": "article",
+ "release_year": 2018,
+ "revision": "1ece904e-adeb-4b86-9015-538c44d80576",
+ "state": "active",
+ "title": "On the second variation of the Graham-Witten energy",
+ "version": "v2",
+ "work_id": "a7vxbmynmfdphbpyzc43dejf54"
+}