scholarly journals Complete surfaces with positive extrinsic curvature in product spaces

2009 ◽  
pp. 351-386 ◽  
Author(s):  
José Espinar ◽  
José Gálvez ◽  
Harold Rosenberg
Keyword(s):  
Extrinsic Curvature ◽  
Product Spaces ◽  
Complete Surfaces

scholarly journals Weingarten Type Surfaces in ℍ2 × ℝ and 𝕊2 × ℝ

2017 ◽  
Vol 69 (6) ◽  
pp. 1292-1311
Author(s):  
Abigail Folha ◽  
Carlos Peñafiel
Keyword(s):  
Extrinsic Curvature ◽  
Product Spaces ◽  
Intrinsic Curvature ◽  
Complete Surfaces

AbstractIn this article, we study complete surfaces Σ, isometrically immersed in the product spaces ℍ2 × ℝ or 𝕊2 × ℝ having positive extrinsic curvature Ke . Let Ki denote the intrinsic curvature of Σ. Assume that the equation aKi + bKe = c holds for some real constants a ≠ 0,b >0, and c. The main result of this article states that when such a surface is a topological sphere, it is rotational.

scholarly journals Complete surfaces with negative extrinsic curvature in M2×R

2015 ◽  
Vol 423 (1) ◽  
pp. 538-546
Author(s):  
José A. Gálvez ◽  
José L. Teruel
Keyword(s):  
Extrinsic Curvature ◽  
Complete Surfaces

scholarly journals Complete surfaces with non-positive extrinsic curvature in H3 and S3

2015 ◽  
Vol 430 (2) ◽  
pp. 1058-1064 ◽  
Author(s):  
José A. Gálvez ◽  
Antonio Martínez ◽  
José L. Teruel
Keyword(s):  
Extrinsic Curvature ◽  
Complete Surfaces

The Integral Over Product Spaces, and Wiener's Formula

1991 ◽  
Vol 17 (1) ◽  
pp. 21
Author(s):  
Henstock
Keyword(s):  
Product Spaces

scholarly journals Embeddedness, convexity, and rigidity of hypersurfaces in product spaces

2021 ◽  
Author(s):  
Ronaldo Freire de Lima
Keyword(s):  
Product Spaces

scholarly journals Fuzzy Inner Product Space: Literature Review and a New Approach

Mathematics ◽  
2021 ◽  
Vol 9 (7) ◽  
pp. 765
Author(s):  
Lorena Popa ◽  
Lavinia Sida
Keyword(s):  
Literature Review ◽  
Product Space ◽  
Inner Product Space ◽  
Inner Product ◽  
Product Spaces ◽  
Comprehensive Overview ◽  
New Approach ◽  
Inner Product Spaces ◽  
Product Function ◽  
Suitable Definition

The aim of this paper is to provide a suitable definition for the concept of fuzzy inner product space. In order to achieve this, we firstly focused on various approaches from the already-existent literature. Due to the emergence of various studies on fuzzy inner product spaces, it is necessary to make a comprehensive overview of the published papers on the aforementioned subject in order to facilitate subsequent research. Then we considered another approach to the notion of fuzzy inner product starting from P. Majundar and S.K. Samanta’s definition. In fact, we changed their definition and we proved some new properties of the fuzzy inner product function. We also proved that this fuzzy inner product generates a fuzzy norm of the type Nădăban-Dzitac. Finally, some challenges are given.

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