Debora Impera

PUBLICATIONS

Publications

Preprints

D. Impera, M. Rimoldi
Poincaré inequality and topological rigidity of translators and self-expanders for the mean curvature flow
To appear on J. Geom. Anal.
D. Impera, M. Rimoldi, G. Veronelli Higher order distance-like functions and Sobolev spaces
Adv. Math. 396 (2022), Paper No. 108166
D. Impera, S. Pigola, M. Rimoldi
The Frankel property for self-shrinkers from the viewpoint of elliptic PDE's
J. Reine Angew. Math. 773 (2021), 1–20.
D. Impera, M. Rimoldi, G. Veronelli
Density problems for second order Sobolev spaces and cut-off functions on manifolds with unbounded geometry
Int. Math. Res. Not. IMRN 2021, no. 14, 10521–10558.
D. Impera, M. Rimoldi
Index and first Betti number of f-minimal hypersurfaces: general ambients
Ann. Mat. Pura Appl. (4) 199 (2020), no. 6, 2151–2165.
D. Impera, M. Rimoldi, A. Savo
Index and first Betti number of f-minimal hypersurfaces and self-shrinkers
Rev. Mat. Iberoam. 36 (2020), no. 3, 817–840.
D. Impera
Rigidity and gap results for low index properly immersed self--shrinkers in $R^{m+1}$
Differential Geom. Appl. 64 (2019), 1–12.
D. Impera, M. Rimoldi
Quantitative index bounds for translators via topology
Math. Z. 292 (2019), no. 1-2, 513–527.
D. Impera, E. Musso
Space-like Willmore immersions
Riv. Math. Univ. Parma (N.S.) 9 (2018), no. 2, 255–282.
D. Impera, J. H. de Lira, S. Pigola, A. G. Setti
Height estimates for Killing graphs
J. Geom. Anal. 28 (2018), no. 3, 2857–2885.
D. Impera, M. Rimoldi
Rigidity results and topology at infinity of translating solitons of the mean curvature flow
Commun. Contemp. Math. 19 (2017), no. 6, 1750002, 21 pp.
D. Impera, S. Pigola, A. G. Setti
Potential theory for manifolds with boundary and applications to controlled mean curvature graphs
J. Reine Angew. Math. 733 (2017), 121–159.
D. Impera, S. Pigola
On the growth of supersolutions of nonlinear PDE's on exterior domains
Nonlinear Anal. 146 (2016), 20–31.
D. Impera, M. Rimoldi
Stability properties and topology at infinity of f-minimal hypersurfaces
Geometriae Dedicata. 178 (2015), no. 1, 21-47.
S. G. Garcia-Martinez, D. Impera, M. Rigoli
A sharp height estimate for compact hypersurfaces with constant k-mean curvature in warped product spaces
Proc. Edinb. Math. Soc. 58 (2015), no.2, 403–419.
S. G. Garcia-Martinez, D. Impera
Height estimates and half-space theorems for spacelike hypersurfaces in generalized Robertson-Walker spacetimes
Differential Geom. Appl. 32 (2014), 46-67.
L. J. Alias, D. Impera, M. Rigoli
Hypersurfaces of constant higher order mean curvature in warped products
Trans. Amer. Math. Soc. 365 (2013), no. 2, 591-621.
L. J. Alias, D. Impera, M. Rigoli
Spacelike hypersurfaces of constant higher order mean curvature in generalized Robertson-Walker spacetimes
Math. Proc. Cambridge Philosoph. Soc. 152 (2012), no. 2, 365-383.
D. Impera
Comparison theorems in Lorentzian geometry and applications to spacelike hypersurfaces
J. Geom. Phys. 62 (2012), no. 2, 412-426.
D. Impera, L. Mari, M. Rigoli
Some geometric properties of hypersurfaces with constant r-mean curvature in Euclidean space
Proc. Amer. Math. Soc. 139 (2011), no. 6, 2207-2215.
D. Impera, S. Montaldo
Totally biharmonic submanifolds
Differential geometry, 237-246, World Sci. Publ., Hackensack, NJ, 2009.

Debora Impera

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