∼ Research ∼

© Luis A. Florit
SEPARATOR

∼ Published: MathSciNet

00 Scalar positive immersions.
PDF file.
Commun. Contemp. Math. 24 (2022), no. 8, Paper No. 2150093, 23 pp.
With Bernhard Hanke.
00 Geometric graph manifolds with non-negative scalar curvature.
PDF file.
J. London Math. Soc.. 104 (2021), no. 3, 1475–1490.
With Wolfgang Ziller.
00 Manifolds with conullity at most two as graph manifolds.
PDF file.
Ann. Sci. Ecole Norm. Sup.. 53 (2020), no. 5, 1313–1333.
With Wolfgang Ziller.
00 Singular genuine rigidity.
PDF file.
Comment. Math. Helv. 95 (2020), no. 2, 279-299.
With Felippe Guimarães.
00 Classification of codimension two deformations of rank two Riemannian manifolds.
PDF file
Comm. Anal. Geom. 25 (2017), no. 4, 751-797.
With Guilherme M. de Freitas.
00 Nonnegatively curved Euclidean submanifolds in codimension two.
PDF file
Comment. Math. Helv. 91 (2016), no. 4, 629-651.
With Wolfgang Ziller.
00 Riemannian foliations on contractible manifolds.
PDF file
Munster J. Math. 8 (2015) 1-16.
With O. Goertsches, A. Lytchak, and D. Toben.
00 Euclidean hypersurfaces with genuine deformations in codimension two.
PDF file
Manuscripta Math. 140 (2013) 621-643.
With M. Dajczer and R. Tojeiro.
00 Topological obstructions to fatness.
PDF file
Geom. Topol. 15 (2011) 891-925.
With Wolfgang Ziller.
00 Genuine deformations of submanifolds II: the conformal case.
PDF file
Comm. Anal. Geom. 18 (2010), 397-419.
With R. Tojeiro.
00 The holomorphic Gauss parametrization.
PDF file
Manuscripta Math. 129 (2009), 127-135.
With M. Dajczer.
00 On the topology of positively curved Bazaikin spaces.
PDF file
J. Eur. Math. Soc. (JEMS) 11 (2009), 189-205.
With Wolfgang Ziller.
00 Complete real Kahler Euclidean submanifolds in codimension two.
PDF file
Math. Z. 258 (2008), 291-299.
With F. Zheng.
00 On Yamabe constants of Riemannian products.
PDF file
Comm. Anal. Geom. 15 (2007), 947-969.
With K. Akutagawa and J. Petean.
00 Orbifold fibrations of Eschenburg spaces.
PDF file
Geom. Dedicata 127 (2007), 159-175.
With Wolfgang Ziller.
00 The vectorial Ribaucour transformation for submanifolds and applications.
PDF file
Trans. AMS. 359 (2007), 4977-4997.
With M. Dajczer and R. Tojeiro.
00 Complete real Kahler Euclidean hypersurfaces are cylinders.
PDF file
Ann. Inst. Fourier (Grenoble) 57 (2007), 155-161.
With F. Zheng.
00 Warped product structure of submanifolds with nonpositive extrinsic curvature in space forms.
PDF file
Differential Geom. Appl. 25 (2007), 23-28.
00 Doubly ruled submanifolds in space forms.
PDF file
Bull. Belg. Math. Soc.. 13 (2006), 689-701.
00 Reducibility of Dupin submanifolds.
PDF file
Illinois J. Math. 49 (2005), 759-791.
With M. Dajczer and R. Tojeiro.
00 On real Kahler Euclidean submanifolds with non-negative Ricci curvature.
PDF file
J. Eur. Math. Soc. (JEMS) 7 (2005), 1-11.
With W. Hui and F. Zheng.
00 A local and global splitting result for real Kahler Euclidean submanifolds.
PDF file
Arch. Math. (Basel) 84 (2005), 88-95.
With F. Zheng.
00 Genuine rigidity of Euclidean submanifolds in codimension two.
PDF file
Geom. Dedicata 106 (2004), 195-210.
With M. Dajczer.
00 Genuine deformations of submanifolds.
PDF file
Comm. Anal. Geom. 12 (2004), 1105-1129.
With M. Dajczer.
00 A counterexample to a conjecture on flat bilinear forms.
PDF file
Proc. AMS 132 (2004), 3703-3704.
With M. Dajczer.
00 A class of austere submanifolds.
PDF file
Illinois J. Math. 45 (2001), 735-755.
With M. Dajczer.
00 Compositions of isometric immersions in higher codimension.
PDF file (Erratum: PDF file)
Manuscripta Math. 105 (2001), 507-517.
With M. Dajczer.
00 On a class of submanifolds carrying an extrinsic totally umbilical foliation.
PDF file
Israel J. Math. 125 (2001), 203-220.
With M. Dajczer and R. Tojeiro.
00 On nonpositively curved Euclidean submanifolds: splitting results II.
PDF file
J. Reine Angew. Math. 508 (1999), 1-15.
With F. Zheng.
00 On nonpositively curved Euclidean submanifolds: splitting results.
PDF file
Comment. Math. Helv. 74 (1999), no. 1, 54-63.
With F. Zheng.
00 Euclidean conformally flat submanifolds in codimension two obtained as intersections.
PDF file
Proc. AMS 127 (1999), no. 1, 265-269.
With M. Dajczer.
00 On deformable hypersurfaces in space forms.
PDF file
Ann. Mat. Pura Appl. 174 (1998), 361-390.
With M. Dajczer and R. Tojeiro.
00 On Chen's basic equality.
PDF file
Illinois J. Math. 42 (1998), 97-106.
With M. Dajczer.
00 A splitting theorem for euclidean submanifolds of nonpositive sectional curvature.
PDF file
Math. Z. 225 (1997), 685-690.
00 On conformally flat submanifolds.
PDF file
Comm. Anal. Geom. 4 (1996), 261-284.
With M. Dajczer.
00 On extensions of infinitesimal deformations.
PDF file
J. London Math. Soc. (2) 53 (1996) 615-624.
00 On Submanifolds with nonpositive extrinsic curvature.
PDF file
Math. Ann. 298 (1994), 187-192.

∼ Books and Lecture Notes ∼

00 Submanifolds and Isometric Immersions, lecture notes.
PDF file
IMPA, Rio de Janeiro. 52 pp.
00 Riemannian Geometry, lecture notes.
PDF file
IMPA, Rio de Janeiro. 52 pp.
00 Differential Geometry, lecture notes.
PDF file
IMPA, Rio de Janeiro. 55 pp.
00 Analysis on manifolds, lecture notes.
PDF file
IMPA, Rio de Janeiro. 39 pp.
00 Parametrizations in submanifold theory.
PDF file
IMPA, Rio de Janeiro, 1999. 47 pp. ISBN: 85-244-0153-2.

∼ Teaching ideas ∼

00 You could have invented topology.
PDF file
IMPA, Rio de Janeiro, 2017.
00 Suavidade, zoom, e imersões. (Portuguese)
PDF file
IMPA, Rio de Janeiro, 2021.

Last Update: 2022/12/15, 11:13.