Topological invariants of stable maps and classification of singularities

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**Abstract**

The projets addresses several topics in differential geometry and geometric analysis, including: 1) group and groupoid actions in riemannian and pseudo-riemannian manifolds; 2) submanifold theory, minimal submanifolds and constant mean curvature hypersurfaces; 3) variational calculus and global analysis in riemannian, sub-riemannian and pseudo-riemannian geometry, with applications to general relativity; 4) Lusternik-Schnirelman Theory, Morse Theory; 5) geometric variational problems and PDEs on manifolds; 6) isometric immersions in riemannian and pseudo-riemannian manifolds; 7) geometric theory of foliations; 8) Lie groupoids and algebroids, Poisson and Dirac geometry, G-structures; 9) Finsler and pseudo-Finsler manifolds. (AU)

Scientific publications
(14)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

BEZERRA, A. C.;
MANFIO, F.
Rigidity and stability estimates for minimal submanifolds in the hyperbolic space.
** Journal of Mathematical Analysis and Applications**,
v. 495,
n. 2
MAR 15 2021.
Web of Science Citations: 0.

ALEKSEEVSKY, DMITRI;
GORODSKI, CLAUDIO.
Semisimple symmetric contact spaces.
** INDAGATIONES MATHEMATICAE-NEW SERIES**,
v. 31,
n. 6,
p. 1110-1133,
NOV 2020.
Web of Science Citations: 0.

DAJCZER, MARCOS;
TOJEIRO, RUY.
Hypersurfaces of space forms carrying a totally geodesic foliation.
** Geometriae Dedicata**,
v. 205,
n. 1,
p. 129-146,
APR 2020.
Web of Science Citations: 0.

MANFIO, FERNANDO;
TOJEIRO, RUY;
VAN DER VEKEN, JOERI.
Geometry of submanifolds with respect to ambient vector fields.
** Annali di Matematica Pura ed Applicata**,
MAR 2020.
Web of Science Citations: 0.

CHION, SERGIO;
TOJEIRO, RUY.
Euclidean Hypersurfaces with Genuine Conformal Deformations in Codimension Two.
** BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY**,
OCT 2019.
Web of Science Citations: 0.

LOBOS, G. A.;
TASSI, M. P.;
YUCRA HANCCO, A. J.
Pseudo-parallel surfaces of S-c(n) x R and H-c(n) x R.
** BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY**,
v. 50,
n. 3,
p. 705-715,
SEP 2019.
Web of Science Citations: 0.

ALEXANDRINO, MARCOS M.;
ALVES, BENIGNO O.;
DEHKORDI, HENGAMEH R.
On Finsler transnormal functions.
** DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS**,
v. 65,
p. 93-107,
AUG 2019.
Web of Science Citations: 0.

GORODSKI, CLAUDIO;
MENDES, RICARDO A. E.;
RADESCHI, MARCO.
Robust index bounds for minimal hypersurfaces of isoparametric submanifolds and symmetric spaces.
** CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS**,
v. 58,
n. 4
AUG 2019.
Web of Science Citations: 0.

DO REI FILHO, C.;
TOJEIRO, R.
Minimal Conformally Flat Hypersurfaces.
** JOURNAL OF GEOMETRIC ANALYSIS**,
v. 29,
n. 3,
p. 2931-2956,
JUL 2019.
Web of Science Citations: 0.

GORODSKI, CLAUDIO.
Highly curved orbit spaces.
** DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS**,
v. 63,
p. 145-165,
APR 2019.
Web of Science Citations: 0.

ALEXANDRINO, MARCOS M.;
ALVES, BENIGNO O.;
ANGEL JAVALOYES, MIGUEL.
On singular Finsler foliation.
** Annali di Matematica Pura ed Applicata**,
v. 198,
n. 1,
p. 205-226,
FEB 2019.
Web of Science Citations: 3.

LOBOS, G. A.;
TASSI, M. P.
A classification of pseudo-parallel hypersurfaces of S-n x R and H-n x R.
** DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS**,
v. 62,
p. 72-82,
FEB 2019.
Web of Science Citations: 1.

DO REI FILHO, C.;
TOJEIRO, R.
Conformally flat hypersurfaces with constant scalar curvature.
** DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS**,
v. 61,
p. 133-146,
DEC 2018.
Web of Science Citations: 0.

FREITAS, SIMONE R.;
CONSTANTINO, EVERTON;
ALEXANDRINO, MARCOS M.
Computational geometry applied to develop new metrics of road and edge effects and their performance to understand the distribution of small mammals in an Atlantic forest landscape.
** ECOLOGICAL MODELLING**,
v. 388,
p. 24-30,
NOV 24 2018.
Web of Science Citations: 0.

Please report errors in scientific publications list by writing to:
cdi@fapesp.br.