## Research papers and books

##### © Luis A. Florit

#### ∼ Preprints ∼

#### ∼ Accepted for publication ∼

*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.

*Singular genuine rigidity.*
PDF file.

Comment. Math. Helv.

**95** (2020), no. 2, 279-299.

With Felippe Guimarães.

*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.

*Nonnegatively curved Euclidean submanifolds in codimension two.*
PDF file
Comment. Math. Helv.

**91** (2016), no. 4, 629-651.

With Wolfgang Ziller.

*Riemannian foliations on contractible manifolds.*
PDF file
Munster J. Math.

**8** (2015) 1-16.

With O. Goertsches, A. Lytchak, and D. Toben.

*Euclidean hypersurfaces with genuine deformations in codimension two.*
PDF file
Manuscripta Math.

**140** (2013) 621-643.

With M. Dajczer and R. Tojeiro.

*Topological obstructions to fatness.*
PDF file
Geom. Topol.

**15** (2011) 891-925.

With Wolfgang Ziller.

*Genuine deformations of submanifolds II: the conformal case.*
PDF file
Comm. Anal. Geom.

**18** (2010), 397-419.

With R. Tojeiro.

*The holomorphic Gauss parametrization.*
PDF file
Manuscripta Math.

**129** (2009), 127-135.

With M. Dajczer.

*On the topology of positively curved Bazaikin spaces.*
PDF file
J. Eur. Math. Soc. (JEMS)

**11** (2009), 189-205.

With Wolfgang Ziller.

*Complete real Kahler Euclidean submanifolds in codimension two.*
PDF file
Math. Z.

**258** (2008), 291-299.

With F. Zheng.

*On Yamabe constants of Riemannian products.*
PDF file
Comm. Anal. Geom.

**15** (2007), 947-969.

With K. Akutagawa and J. Petean.

*Orbifold fibrations of Eschenburg spaces.*
PDF file
Geom. Dedicata

** 127** (2007), 159-175.

With Wolfgang Ziller.

*The vectorial Ribaucour transformation for submanifolds and applications.*
PDF file
Trans. AMS.

**359** (2007), 4977-4997.

With M. Dajczer and R. Tojeiro.

*Complete real Kahler Euclidean hypersurfaces are cylinders.*
PDF file
Ann. Inst. Fourier (Grenoble)

** 57 ** (2007), 155-161.

With F. Zheng.

*Warped product structure of submanifolds with nonpositive extrinsic curvature in space forms.*
PDF file
Differential Geom. Appl.

**25** (2007), 23-28.

*Doubly ruled submanifolds in space forms.*
PDF file
Bull. Belg. Math. Soc..

**13** (2006), 689-701.

* Reducibility of Dupin submanifolds.*
PDF file
Illinois J. Math.

** 49 ** (2005), 759-791.

With M. Dajczer and R. Tojeiro.

*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.

*A local and global splitting result for real Kahler Euclidean submanifolds.*
PDF file
Arch. Math. (Basel)

** 84 ** (2005), 88-95.

With F. Zheng.

* Genuine rigidity of Euclidean submanifolds in codimension two.*
PDF file
Geom. Dedicata

** 106 ** (2004), 195-210.

With M. Dajczer.

* Genuine deformations of submanifolds.*
PDF file
Comm. Anal. Geom.

** 12 ** (2004), 1105-1129.

With M. Dajczer.

* A counterexample to a conjecture on flat bilinear forms.*
PDF file
Proc. AMS

** 132 ** (2004), 3703-3704.

With M. Dajczer.

* A class of austere submanifolds. *
PDF file
Illinois J. Math.

** 45 ** (2001), 735-755.

With M. Dajczer.

* Compositions of isometric immersions in higher codimension.*
PDF file
(Erratum:

PDF file)

Manuscripta Math.

** 105 ** (2001), 507-517.

With M. Dajczer.

* 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.

* On nonpositively curved Euclidean submanifolds: splitting results II. *
PDF file
J. Reine Angew. Math.

** 508 ** (1999), 1-15.

With F. Zheng.

* On nonpositively curved Euclidean submanifolds: splitting results. *
PDF file
Comment. Math. Helv.

** 74 ** (1999), no. 1, 54-63.

With F. Zheng.

* Euclidean conformally flat submanifolds in codimension two
obtained as intersections. *
PDF file
Proc. AMS

** 127 ** (1999), no. 1, 265-269.

With M. Dajczer.

* On deformable hypersurfaces in space forms. *
PDF file
Ann. Mat. Pura Appl.

** 174 ** (1998), 361-390.

With M. Dajczer and R. Tojeiro.

* On Chen's basic equality. *
PDF file
Illinois J. Math.

** 42 ** (1998), 97-106.

With M. Dajczer.

* A splitting theorem for euclidean submanifolds of
nonpositive sectional curvature. *
PDF file
Math. Z.

** 225 ** (1997), 685-690.

* On conformally flat submanifolds. *
PDF file
Comm. Anal. Geom.

** 4 ** (1996), 261-284.

With M. Dajczer.

* On extensions of infinitesimal deformations. *
PDF file
J. London Math. Soc. (2)

** 53 ** (1996) 615-624.

* On Submanifolds with nonpositive extrinsic curvature. *
PDF file
Math. Ann.

** 298 ** (1994), 187-192.

#### ∼ Books and Lecture Notes ∼

*Submanifolds and Isometric Immersions, lecture notes.*
PDF file
IMPA, Rio de Janeiro. 52 pp.

*Riemannian Geometry, lecture notes.*
PDF file
IMPA, Rio de Janeiro. 52 pp.

*Differential Geometry, lecture notes.*
PDF file
IMPA, Rio de Janeiro. 55 pp.

*Analysis on manifolds, lecture notes.*
PDF file
IMPA, Rio de Janeiro. 39 pp.

*Parametrizations in submanifold theory.*
PDF file
IMPA, Rio de Janeiro, 1999. 47 pp. ISBN: 85-244-0153-2.

#### ∼ Teaching ideas ∼

*You could have invented topology.*
PDF file
IMPA, Rio de Janeiro, 2017.

*Suavidade, zoom, e imersões. (Portuguese)*
PDF file
IMPA, Rio de Janeiro, 2021.

Last Update: 2021/03/31, 18:03.