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2012, University lecture series, ISBN 9780821869123, Volume 60., x, 182
Book
2011, Graduate studies in mathematics, ISBN 0821853236, Volume 121, xii, 313
"Minimal surfaces date back to Euler and Lagrange and the beginning of the calculus of variations. Many of the techniques developed have played key roles in... 
Minimal surfaces
Book
Mathematische annalen, ISSN 0025-5831, 01/2018, Volume 370, Issue 3, pp. 1491 - 1512
For any H∈(0,12), we construct complete, non-proper, stable, simply-connected surfaces embedded in H2×R with constant mean curvature H. 
Curvature
Journal Article
AIP Conference Proceedings, ISSN 0094-243X, 01/2018, Volume 1926, Issue 1
Helixes on Clifford surfaces in a hyperbolic space H^3 of positive curvature are investigated. We formulate the following facts for a Clifford surface of every... 
Curvature
Journal Article
Taiwanese journal of mathematics, ISSN 1027-5487, 6/2015, Volume 19, Issue 3, pp. 691 - 702
In this paper we prove two sharp inequalities involving the normalized scalar curvature and the generalized normalized -Casorati curvatures for slant... 
Mathematical manifolds | Tangents | Tensors | Real numbers | Hyperplanes | Scalars | Mathematical inequalities | Curvature | Quaternionic space form | Scalar curvature | Shape operator | Slant submanifold | Optimal inequality | Mean curvature | δ-Casorati curvature | Physical Sciences | Mathematics | Science & Technology | Mathematics - Differential Geometry
Journal Article
Boletim da Sociedade Brasileira de Matemática, ISSN 1678-7544, 01/2019, Volume 50, Issue 3, pp. 705 - 715
In this work we give a characterization of pseudo-parallel surfaces in Scn×R and Hcn×R, extending an analogous result by Asperti-Lobos-Mercuri for the... 
Curvature
Journal Article
2017, Mathematical surveys and monographs, ISBN 147043623X, Volume no. 222., x, 344 pages
"The aim of this book is to introduce and develop an arithmetic analogue of classical differential geometry. In this new geometry the ring of integers plays... 
Forms and linear algebraic groups | Classical groups | Geometry, Differential | Number theory
Book
Advances in mathematics (New York. 1965), ISSN 0001-8708, 2014, Volume 268, pp. 915 - 916
Journal Article
Proceedings of the Japan Academy. Series A. Mathematical sciences, ISSN 0386-2194, 03/2019, Volume 95, Issue 3, pp. 21 - 23
We construct a family of isometric immersions of R2 into R4 with vanishing normal curvature. 
Curvature
Journal Article
AIP Conference Proceedings, ISSN 0094-243X, 04/2017, Volume 1833, Issue 1
The object of the present paper is to study almost cosymplectic (κ, μ)-spaces satisfying some curvature conditions. 
Curvature
Journal Article
Mediterranean journal of mathematics, ISSN 1660-5446, 01/2019, Volume 16, Issue 4, pp. 1 - 23
The Chinea–Gonzalez class C5⊕C12 consists of the almost contact metric manifolds that are locally described as double-twisted product manifolds I×(λ1,λ2)M^,... 
Curvature
Journal Article
Discrete & computational geometry, ISSN 0179-5376, 3/2014, Volume 51, Issue 2, pp. 300 - 322
Journal Article
Bulletin of the Malaysian Mathematical Sciences Society, ISSN 0126-6705, 10/2018, Volume 41, Issue 4, pp. 1759 - 1771
In this paper, we show that an \[L_1\]-2-type surface \[M^2\subset \mathbb {S}^3\] is either an open portion of a standard Riemannian product \[\mathbb... 
Curvature
Journal Article