Rigidity of Surfaces with Constant Extrinsic Curvature in Riemannian Product Spaces

2020 ◽  
Author(s):  
Fábio R. dos Santos
Keyword(s):  
Extrinsic Curvature ◽  
Product Spaces ◽  
Riemannian Product

scholarly journals Moser-type results in Riemannian product spaces

2015 ◽  
Vol 353 (11) ◽  
pp. 1017-1021 ◽  
Author(s):  
Arlandson M.S. Oliveira ◽  
Henrique F. de Lima
Keyword(s):  
Product Spaces ◽  
Riemannian Product

scholarly journals Study on Twisted Product Almost Gradient Yamabe Solitons

2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Byung Hak Kim ◽  
Jin Hyuk Choi ◽  
Sang Deok Lee
Keyword(s):  
Warped Product ◽  
Product Spaces ◽  
Twisted Product ◽  
Riemannian Product ◽  
Yamabe Solitons

In this paper, we first study gradient Yamabe solitons on the twisted product spaces. Then, we classify and characterize the warped product and twisted product spaces with almost gradient Yamabe solitons. We also study the construction of almost gradient Yamabe solitons in the Riemannian product spaces.

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 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 On the angle of complete CMC hypersurfaces in Riemannian product spaces

2014 ◽  
Vol 33 ◽  
pp. 139-148 ◽  
Author(s):  
Cícero P. Aquino ◽  
Henrique F. de Lima ◽  
Eraldo A. Lima
Keyword(s):  
Product Spaces ◽  
Riemannian Product

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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