Inflection points and topology of surfaces in 4-space (original) (raw)

The geometry of surfaces in 4-space from a contact viewpoint

M. Ruas, Carmen Romero Fuster, Maria Carmen Romero Fuster

Geometriae Dedicata, 1995

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Tangential and normal Euler numbers, complex points, and singularities of projections for oriented surfaces in four-space

Thomas Banchoff

Pacific Journal of Mathematics, 1993

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Indices of Newton Non-Degenerate Vector Fields and a Conjecture of Loewner for Surfaces in R4

M. Ruas

Real And Complex Singularities, 2003

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On spacelike surfaces in 4-dimensional

Alfonso Romero

2012

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On the Theory of Surfaces in the Four-dimensional Euclidean Space

Velichka Milousheva

2007

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Singularities of affine equidistants: extrinsic geometry of surfaces in 4-space

M. Ruas

Bulletin of the Brazilian Mathematical Society, New Series, 2016

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On surfaces in ${\bf R}\sp 4

Walter Seaman

Proceedings of The American Mathematical Society, 1985

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2 5 Fe b 20 05 Vertices and inflexions of plane sections of smooth surfaces in R 3

Andre Diatta

2005

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On space-like surfaces in Minkowski 4-space with pointwise 1-type Gauss map of the second kind

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Balkan Journal of Geometry and Its Applications

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Asymptotic Curves on Surfaces in ℝ 5

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Communications in Contemporary Mathematics, 2008

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for surfaces in R4

M. Ruas

2015

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Vertices and Inflexions of Plane Sections of Surfaces in ℝ^3

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Real and Complex Singularities. Trends Math., Birkhauser, Basel, 2007, 2007

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The Lorentzian surfaces in semi-Euclidean 4-space with index 2

Lingling Kong

Journal of Mathematical Analysis and Applications, 2012

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Singularities of generic lightcone Gauss maps and ligstcone pedal surfaces of spacelike curves in Minkowski 4-space

Lingling Kong

Houston Journal of Mathematics, 2010

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Reflexion maps and geometry of surfaces in R^4

Stanisaw Janeczko

Journal of Singularities

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Umbilicity of surfaces with orthogonal asymptotic lines in

Carmen Romero Fuster

Differential Geometry and its Applications, 2002

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Singularities of lightlike hypersurfaces in Minkowski four-space

Carmen Romero Fuster

Tohoku Mathematical Journal, 2006

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Normal curvatures and Euler classes for polyhedral surfaces in 444-space

Thomas Banchoff

Proceedings of the American Mathematical Society, 1984

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On certain surfaces in the isotropic 4-space

Ion Mihai

2016

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Lines of curvature on surfaces immersed in ?4

Irwen Guadalupe

Boletim da Sociedade Brasileira de Matem�tica, 1997

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Codazzi fields on surfaces immersed in Euclidean 4-space

Maria Carmen Romero Fuster

Osaka Journal of Mathematics, 2008

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Invariants and Bonnet-type theorem for surfaces in ℝ 4

Velichka Milousheva

Central European Journal of Mathematics, 2010

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Invariants of Lines on Surfaces in $\R^4

Georgi Ganchev, Velichka Milousheva

2010

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The homotopy type of spaces of locally convex curves in the sphere

Nicolau Saldanha

Geometry & Topology, 2015

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Bour's Theorem of Spacelike Surfaces in Minkowski 4--Space

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2021

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Differential Geometry from Singularity Theory Viewpoint

Maria Carmen Romero Fuster

2014

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