Fetching the paper…
Reading the bibliography…
We develop the calculus for hypersurface variations based on variation of the hypersurface defining function.
Proc. Nat. Acad. Sci. 18
T. Thomas, Announcement of a projective theory of affinely connected manifolds · 1926
Earlier work this paper cites.
An. Şti. Univ. “Al. I. Cuza” Iaşi Secţ. I a Mat. (N.S.) 11B
T. J. Willmore, Note on embedded surfaces · 1965
Earlier work this paper cites.
Partial differential equations invariant under conformal or projective transformations,
C. Loewner and L. Nirenberg, · 1974
Earlier work this paper cites.
Spinors and space-time. Vol. 1
R. Penrose and W. Rindler, · 1984
Earlier work this paper cites.
Nucl. Phys. B268
A. M. Polyakov, Fine Structure of Strings · 1986
Earlier work this paper cites.
Duke Math. J. 56
P. Aviles and R. C. McOwen, Complete conformal metrics with negative scalar curvature in compact Riemannian manifolds · 1988
Earlier work this paper cites.
Indiana Univ. Math. J. 40
R. Mazzeo, Regularity for the singular Yamabe problem · 1991
Earlier work this paper cites.
Comm. Math. Phys. 149
L. Andersson, P. T. Chruściel and H. Friedrich, On the regularity of solutions to the Yamabe equation and the existence of smooth hyperboloidal initial data for Einstein’s field equations · 1992
Earlier work this paper cites.
J. London Math. Soc. (2) 46
C. R. Graham, R. Jenne, L. J. Mason and G. A. J. Sparling, Conformally invariant powers of the Laplacian. I. Existence · 1992
Earlier work this paper cites.
Rocky Mountain J. Math. 24
T. N. Bailey, M. G. Eastwood and A. R. Gover, Thomas’s structure bundle for conformal, projective and related structures · 1994
Earlier work this paper cites.
J. Algebra 197
M. Eastwood and J. Slovák, Semiholonomic Verma modules · 1997
Earlier work this paper cites.
Nuclear Phys. B 546
C. R. Graham and E. Witten, Conformal anomaly of submanifold observables in AdS/CFT correspondence · 1999
Cited alongside, same era.
Pacific J. Math. 201
T. Branson and A. R. Gover, Conformally invariant non-local operators · 2001
Cited alongside, same era.
GRTensorII,
K. L. Peter Musgrave, Denis Pollney, · 2001
Cited alongside, same era.
A conformally invariant third order Neumann-type operator for hypersurfaces ,
D. Grant, · 2003
Cited alongside, same era.
Level set methods and dynamic implicit surfaces
S. Osher and R. Fedkiw, · 2003
Cited alongside, same era.
J. Phys. A 38
J. Guven, Conformally invariant bending energy for hypersurfaces · 2005
Cited alongside, same era.
Tractor Calculus and Invariants for Conformal Sub-Manifolds ,
J. Kuipers, T. Ueda, J. A. M. Vermaseren and J. Vollinga, FORM version 4.0 · 2012
Later among the works it cites.
Conference on Geometrical Analysis-Extended Abstract (2013), 1407.6742
A. R. Gover and A. Waldron, Submanifold conformal invariants and a boundary Yamabe problem · 2013
Later among the works it cites.
JHEP 1307
E. Joung, M. Taronna and A. Waldron, A Calculus for Higher Spin Interactions · 2013
Later among the works it cites.
Bull. Braz. Math. Soc. (N.S.) 44
F. C. Marques and A. Neves, Min-max theory, Willmore conjecture and the energy of links · 2013
Later among the works it cites.
Manufacturing conformal invariants of hypersurfaces
Y. Vyatkin, · 2013
Later among the works it cites.
Phys. Rev. D90
A. F. Astaneh, G. Gibbons and S. N. Solodukhin, What surface maximizes entanglement entropy? · 2014
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
R. Stafford, · 2005
Cited alongside, same era.
SIGMA Symmetry Integrability Geom. Methods Appl. 3
A. R. Gover, Conformal Dirichlet-Neumann maps and Poincaré-Einstein manifolds · 2007
Cited alongside, same era.
Invent. Math. 174
T. Rivière, Analysis aspects of Willmore surfaces · 2008
Cited alongside, same era.
Comm. Math. Phys. 297
S. Alexakis and R. Mazzeo, Renormalized area and properly embedded minimal surfaces in hyperbolic 3-manifolds · 2010
Cited alongside, same era.
J. Geom. Phys. 60
A. R. Gover, Almost Einstein and Poincaré-Einstein manifolds in Riemannian signature · 2010
Cited alongside, same era.
Later among the works it cites.
Indiana Univ. Math. J. 63
A. R. Gover and A. Waldron, Boundary calculus for conformally compact manifolds · 2014
Later among the works it cites.
Ann. of Math. (2) 179
F. C. Marques and A. Neves, Min-max theory and the Willmore conjecture · 2014
Later among the works it cites.
Mem. Amer. Math. Soc. 235
A. R. Gover, E. Latini and A. Waldron, Poincaré-Einstein holography for forms via conformal geometry in the bulk · 2015
Closest in time.
(2015), 1506.02723
A. R. Gover and A. Waldron, Conformal hypersurface geometry via a boundary Loewner-Nirenberg-Yamabe problem · 2015
Closest in time.