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1
M F Atiyah ,
I M Singer , The index of elliptic
operators, III , Ann. of Math. 87 (1968) 546 MR0236952
2
J C Baez ,
The
octonions , Bull. Amer. Math. Soc. 39 (2002) 145
MR1886087
3
M Berger , Sur les
groupes d’holonomie homogène des variétés à connexion affine et
des variétés riemanniennes , Bull. Soc. Math. France 83
(1955) 279 MR0079806
4
R L Bryant ,
Some remarks on G 2 –structures , from: "Proceedings of
Gökova Geometry–Topology Conference 2005" (editors S Akbulut, T
Önder, R J Stern), GGT (2006) 75 MR2282011
5
R L Bryant ,
Non-embedding
and non-extension results in special holonomy , from:
"The many facets of geometry" (editors O García-Prada, J P
Bourguignon, S Salamon), Oxford Univ. Press (2010) 346 MR2681703
6
R L Bryant ,
S M Salamon , On the
construction of some complete metrics with exceptional
holonomy , Duke Math. J. 58 (1989) 829 MR1016448
7
R Bryant , F Xu ,
Laplacian flow for closed G 2 –structures : Short time behavior ,
arXiv:1101.2004
8
M Čadek , M
Crabb , J Vanžura , Obstruction theory
on 8 –manifolds , Manuscripta
Math. 127 (2008) 167 MR2442894
9
E Calabi , Métriques
kählériennes et fibrés holomorphes , Ann. Sci. École
Norm. Sup. 12 (1979) 269 MR543218
10
A Corti , M
Haskins , J Nordström , T Pacini , G 2 –manifolds and associative submanifolds
via semi-Fano 3 –folds , Duke
Math. J. 164 (2015) 1971 MR3369307
11
D Crowley , J
Nordström , The classification of 2 –connected 7 –manifolds , arXiv:1406.2226
12
D Crowley , J
Nordström , Exotic G 2 –manifolds , arXiv:1411.0656
13
H Donnelly ,
Spectral
geometry and invariants from differential topology ,
Bull. London Math. Soc. 7 (1975) 147 MR0372929
14
J Eells Jr. , N
Kuiper H. , An invariant for certain
smooth manifolds , Ann. Mat. Pura Appl. 60 (1962) 93
MR0156356
15
Y Eliashberg , N
Mishachev , Introduction to the
h –principle , 48, Amer.
Math. Soc. (2002) MR1909245
16
M Fernández , A
Gray , Riemannian manifolds with
structure group G 2 , Ann. Mat. Pura Appl. 132 (1982)
19 MR696037
17
A Gray , Vector cross products on
manifolds , Trans. Amer. Math. Soc. 141 (1969) 465
MR0243469
18
A Gray , P S
Green , Sphere transitive
structures and the triality automorphism , Pacific J.
Math. 34 (1970) 83 MR0268910
19
S Grigorian ,
Short-time
behaviour of a modified Laplacian coflow of G 2 –structures , Adv. Math. 248
(2013) 378 MR3107516
20
R Harvey , H B
Lawson Jr. , Calibrated
geometries , Acta Math. 148 (1982) 47 MR666108
21
N Hitchin , Stable forms and
special metrics , from: "Global differential geometry :
The mathematical legacy of Alfred Gray" (editors M Fernández,
J A Wolf), Contemp. Math. 288, Amer. Math. Soc. (2001) 70
MR1871001
22
D D Joyce ,
Compact
Riemannian 7 –manifolds with
holonomy G 2 , I, II , J. Differential Geom. 43
(1996) 291, 329 MR1424428
23
D D Joyce ,
Compact manifolds with special holonomy , Oxford
University Press (2000) MR1787733
24
A Kovalev , Twisted connected sums
and special Riemannian holonomy , J. Reine Angew. Math.
565 (2003) 125 MR2024648
25
A Kovalev , J
Nordström , Asymptotically
cylindrical 7 –manifolds of holonomy
G 2 with applications to compact irreducible
G 2 –manifolds , Ann. Global Anal.
Geom. 38 (2010) 221 MR2721660
26
H B Lawson Jr. ,
M L Michelsohn , Spin geometry , 38, Princeton
Univ. Press (1989) MR1031992
27
H V Lê ,
Existence of symplectic 3 –forms
on 7 –manifolds , preprint (2007)
arXiv:math/0603182v4
28
J Milnor , On manifolds homeomorphic to
the 7 –sphere , Ann. of Math.
64 (1956) 399 MR0082103
29
J Milnor , Spin
structures on manifolds , Enseignement Math. 9 (1963) 198
MR0157388
30
J Milnor , D
Husemoller , Symmetric bilinear forms , 73, Springer
(1973) MR0506372
31
S Salamon ,
Riemannian geometry and holonomy groups , 201, Longman
(1989) MR1004008
32
C T C Wall ,
Non-additivity
of the signature , Invent. Math. 7 (1969) 269 MR0246311
33
H Weiss , F
Witt , Energy functionals
and soliton equations for G 2 –forms , Ann. Global Anal. Geom.
42 (2012) 585 MR2995206
34
F Witt , Generalised
G 2 –manifolds , Comm. Math. Phys. 265
(2006) 275 MR2231673
35
F Xu , R Ye ,
Existence, convergence and limit map of the Laplacian
flow , preprint (2009) arXiv:0912.0074