scholarly journals The Gauss image of entire graphs of higher codimension and Bernstein type theorems

2012 ◽  
Vol 47 (3-4) ◽  
pp. 711-737 ◽  
Author(s):  
J. Jost ◽  
Y. L. Xin ◽  
Ling Yang
Keyword(s):  
Bernstein Type ◽  
Gauss Image ◽  
Entire Graphs

scholarly journals New Bernstein Type Results in Weighted Warped Products

2021 ◽  
Vol 2021 ◽  
pp. 1-6
Author(s):  
Ning Zhang
Keyword(s):  
Mean Curvature ◽  
Constant Mean Curvature ◽  
Warped Products ◽  
Bernstein Type ◽  
Weighted Mean ◽  
Curvature Equation ◽  
Uniqueness Results ◽  
Mean Curvature Equation ◽  
Weighted Mean Curvature ◽  
Entire Graphs

In this paper, we obtain new parametric uniqueness results for complete constant weighted mean curvature hypersurfaces under suitable geometric assumptions in weighted warped products. Furthermore, we also prove very general Bernstein type results for the constant mean curvature equation for entire graphs in these ambient spaces.

scholarly journals Uniqueness of Complete Hypersurfaces in Weighted Riemannian Warped Products

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Ning Zhang
Keyword(s):  
Universal Covering ◽  
Warped Products ◽  
Bernstein Type ◽  
Weighted Mean ◽  
Weak Maximum Principle ◽  
Uniqueness Results ◽  
Weighted Mean Curvature ◽  
Entire Graphs ◽  
Special Case ◽  
Complete Hypersurfaces

In this paper, applying the weak maximum principle, we obtain the uniqueness results for the hypersurfaces under suitable geometric restrictions on the weighted mean curvature immersed in a weighted Riemannian warped product I × ρ M f n whose fiber M has f -parabolic universal covering. Furthermore, applications to the weighted hyperbolic space are given. In particular, we also study the special case when the ambient space is weighted product space and provide some results by Bochner’s formula. As a consequence of this parametric study, we also establish Bernstein-type properties of the entire graphs in weighted Riemannian warped products.

scholarly journals On theorems of Jackson and Bernstein type in the complex plane

1988 ◽  
Vol 4 (1) ◽  
pp. 307-319 ◽  
Author(s):  
J. M. Anderson ◽  
A. Hinkkanen ◽  
F. D. Lesley
Keyword(s):  
Complex Plane ◽  
Bernstein Type

New Generating Function of Bernstein Type Polynomial for Two Variables

2010 ◽  
Author(s):  
Mehmet Açíkgöz ◽  
Serkan Araci ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras
Keyword(s):  
Generating Function ◽  
Bernstein Type

scholarly journals Spacelike hypersurfaces of constant mean curvature and Calabi-Bernstein type problems

1997 ◽  
Vol 49 (3) ◽  
pp. 337-345 ◽  
Author(s):  
Luis J. Alías ◽  
Alfonso Romero ◽  
Miguel Sánchez
Keyword(s):  
Mean Curvature ◽  
Constant Mean Curvature ◽  
Bernstein Type ◽  
Spacelike Hypersurfaces

Lower Estimates for Centered Bernstein-Type Operators

2001 ◽  
Vol 18 (1) ◽  
pp. 145-159
Author(s):  
C. Sangüesa
Keyword(s):  
Bernstein Type

Bernstein-type Operators on a Triangle with One Curved Side

2011 ◽  
Vol 9 (4) ◽  
pp. 833-845 ◽  
Author(s):  
Petru Blaga ◽  
Teodora Cătinaş ◽  
Gheorghe Coman
Keyword(s):  
Bernstein Type
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