scholarly journals The isoperimetric problem in the 2-dimensional Finsler space forms with $k=0$. II

2021 ◽  
pp. 1
Author(s):  
Mengqing Zhan ◽  
Linfeng Zhou
Keyword(s):  
Finsler Space ◽  
Isoperimetric Problem ◽  
Space Forms

The isoperimetric problem in the 2-dimensional Finsler space forms with k = 0

2019 ◽  
Vol 30 (01) ◽  
pp. 1950005 ◽  
Author(s):  
Linfeng zhou
Keyword(s):  
Space Form ◽  
Finsler Space ◽  
Isoperimetric Problem ◽  
Local Maximum ◽  
Space Forms ◽  
Maximum Area

In this paper, the isoperimetric problem in the 2-dimensional Finsler space form [Formula: see text] with [Formula: see text] by using the Busemann–Hausdorff area is investigated. We prove that the circle centered the origin achieves the local maximum area of the isoperimetric problem.

On Isoperimetric Problem in a 2-Dimensional Finsler Space of Funk type

2020 ◽  
Vol 75 (4) ◽  
Author(s):  
Ying Li ◽  
Xiaohuan Mo
Keyword(s):  
Finsler Space ◽  
Isoperimetric Problem

scholarly journals Stable constant mean curvature tori and the isoperimetric problem in three space forms

1992 ◽  
Vol 67 (1) ◽  
pp. 293-305 ◽  
Author(s):  
Manuel Ritoré ◽  
Antonio Ros
Keyword(s):  
Mean Curvature ◽  
Constant Mean Curvature ◽  
Isoperimetric Problem ◽  
Space Forms ◽  
Three Space

scholarly journals Null hypersurfaces in indefinite nearly Kaehlerian Finsler spaces

2019 ◽  
Author(s):  
Samuel Ssekajja
Keyword(s):  
Vector Fields ◽  
Finsler Space ◽  
Second Fundamental Form ◽  
Finsler Spaces ◽  
Space Forms ◽  
Null Hypersurfaces ◽  
Geometric Conditions ◽  
Cr Structure ◽  
Sectional Curvatures ◽  
New Inequalities

We study the geometry of null hypersurfaces, $M$, in indefinite nearly Kaehlerian Finsler space forms $\mathbb{F}^{2n}$. We prove new inequalities involving the point-wise vertical sectional curvatures of $\mathbb{F}^{2n}$, based on two special vector fields on an umbilic hypersurface. Such inequalities generalize some known results on null hypersurfaces of Kaehlerian space forms. Furthermore, under some geometric conditions, we show that the null hypersurface $(M, B)$, where $B$ is the local second fundamental form of $M$, is locally isometric to the null product $M_{D}\times M_{D'}$, where $M_{D}$ and $M_{D'}$ are the leaves of the distributions $D$ and $D'$ which constitutes the natural null-CR structure on $M$.

scholarly journals Isoparametric hypersurfaces in Finsler space forms

2021 ◽  
Author(s):  
Qun He ◽  
Yali Chen ◽  
Songting Yin ◽  
Tingting Ren
Keyword(s):  
Finsler Space ◽  
Space Forms ◽  
Isoparametric Hypersurfaces

Cosmological Consequences with Randers Conformal of Finsler space

2007 ◽  
Vol 3 (2) ◽  
pp. 203-211
Author(s):  
Arunesh Pandey ◽  
R K Mishra
Keyword(s):  
Background Radiation ◽  
Finsler Space ◽  
Space Time ◽  
Anisotropic Model ◽  
Microwave Background ◽  
Microwave Background Radiation

In this paper we study an anisotropic model of space – time with Finslerian metric. The observed anisotropy of the microwave background radiation is incorporated in the Finslerian metric of space time.

THE STUDY OF BERWALD CONNECTION OF A FINSLER SPACE WITH A SPECIAL (α,β)-METRIC

2020 ◽  
Vol 9 (6) ◽  
pp. 3221-3228
Author(s):  
V. D. Mylarappa ◽  
N. S. Kampalappa
Keyword(s):  
Finsler Space ◽  
Berwald Connection

On submersions of the complex indicatrix

Filomat ◽  
2017 ◽  
Vol 31 (16) ◽  
pp. 5081-5092
Author(s):  
Elena Popovicia
Keyword(s):  
Fixed Point ◽  
Complex Projective Space ◽  
Finsler Space ◽  
Hermitian Manifold ◽  
Almost Hermitian Manifold ◽  
Codimension One ◽  
Real Submanifold ◽  
Fundamental Equations ◽  
Complex Projective ◽  
Extrinsic Sphere

In this paper we study the complex indicatrix associated to a complex Finsler space as an embedded CR - hypersurface of the holomorphic tangent bundle, considered in a fixed point. Following the study of CR - submanifolds of a K?hler manifold, there are investigated some properties of the complex indicatrix as a real submanifold of codimension one, using the submanifold formulae and the fundamental equations. As a result, the complex indicatrix is an extrinsic sphere of the holomorphic tangent space in each fibre of a complex Finsler bundle. Also, submersions from the complex indicatrix onto an almost Hermitian manifold and some properties that can occur on them are studied. As application, an explicit submersion onto the complex projective space is provided.

scholarly journals Quantitative stability for hypersurfaces with almost constant curvature in space forms

2021 ◽  
Author(s):  
Giulio Ciraolo ◽  
Alberto Roncoroni ◽  
Luigi Vezzoni
Keyword(s):  
Constant Curvature ◽  
Space Forms ◽  
Quantitative Stability

Real hypersurfaces of complex space forms satisfying Fischer–Marsden equation

2021 ◽  
Author(s):  
V. Venkatesha ◽  
Devaraja Mallesha Naik ◽  
H. Aruna Kumara
Keyword(s):  
Complex Space ◽  
Real Hypersurfaces ◽  
Space Forms ◽  
Complex Space Forms
Sign in / Sign up

Export Citation Format

Share Document