From 09a7e8c9d013f13a1aa1ef4e9b7f397647b79967 Mon Sep 17 00:00:00 2001 From: Martin Czygan Date: Sun, 21 Mar 2021 01:17:38 +0100 Subject: initial import of skate --- skate/testdata/release/rsjv7rxzuzdptmfn7orwxr7n6q | 43 +++++++++++++++++++++++ 1 file changed, 43 insertions(+) create mode 100644 skate/testdata/release/rsjv7rxzuzdptmfn7orwxr7n6q (limited to 'skate/testdata/release/rsjv7rxzuzdptmfn7orwxr7n6q') diff --git a/skate/testdata/release/rsjv7rxzuzdptmfn7orwxr7n6q b/skate/testdata/release/rsjv7rxzuzdptmfn7orwxr7n6q new file mode 100644 index 0000000..bb5888d --- /dev/null +++ b/skate/testdata/release/rsjv7rxzuzdptmfn7orwxr7n6q @@ -0,0 +1,43 @@ +{ + "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" +} -- cgit v1.2.3