國立虎尾科技大學 |

The geometry of spherically symmetric Finsler manifolds

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	The geometry of spherically symmetric Finsler manifolds/ by Enli Guo, Xiaohuan Mo.
作者:	Guo, Enli.
其他作者:	Mo, Xiaohuan.
出版者:	Singapore :Springer Singapore : : 2018.,
面頁冊數:	xiii, 154 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Finsler spaces. -
電子資源:	https://doi.org/10.1007/978-981-13-1598-5
ISBN:	9789811315985

The geometry of spherically symmetric Finsler manifolds
Guo, Enli.

The geometry of spherically symmetric Finsler manifolds[electronic resource] /by Enli Guo, Xiaohuan Mo. - Singapore :Springer Singapore :2018. - xiii, 154 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

Chapter 1. Spherically Symmetric Finsler Metrics -- Chapter 2. Dually Flat Spherically Symmetric Metrics -- Chapter 3. Spherically Symmetric Metrics of Isotropic Berwald Curvature -- Chapter 4. Spherically Symmetric Douglas Metrics -- Chapter 5. Projectively Flat Spherically Symmetric Metrics -- Chapter 6. Spherically Symmetric Metrics of Scalar Curvature -- Chapter 7. Spherically Symmetric Metrics of Constant Flag Curvature -- Chapter 8. Spherically Symmetric W-quadratic Metrics.

This book presents properties, examples, rigidity theorems and classification results of such Finsler metrics. In particular, this book introduces how to investigate spherically symmetric Finsler geometry using ODE or PDE methods. Spherically symmetric Finsler geometry is a subject that concerns domains in R^n with spherically symmetric metrics. Recently, a significant progress has been made in studying Riemannian-Finsler geometry. However, constructing nice examples of Finsler metrics turn out to be very difficult. In spherically symmetric Finsler geometry, we find many nice examples with special curvature properties using PDE technique. The studying of spherically symmetric geometry shows closed relation among geometry, group and equation.

ISBN: 9789811315985

Standard No.: 10.1007/978-981-13-1598-5doiSubjects--Topical Terms:

812042
Finsler spaces.

LC Class. No.: QA689 / .G864 2018

Dewey Class. No.: 516.375

The geometry of spherically symmetric Finsler manifolds
LDR:02279nam a2200337 a 4500 001 929204
003 DE-He213
005 20190314145359.0
006 m d
007 cr nn 008maaau
008 190626s2018 si s 0 eng d
020 $a 9789811315985 $q (electronic bk.)
020 $a 9789811315978 $q (paper)
024 7 $a 10.1007/978-981-13-1598-5 $2 doi
035 $a 978-981-13-1598-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QA689 $b .G864 2018
072 7 $a PBMP $2 bicssc
072 7 $a MAT012030 $2 bisacsh
072 7 $a PBMP $2 thema
082 0 4 $a 516.375 $2 23
090 $a QA689 $b .G977 2018
100 1 $a Guo, Enli. $3 1209604
245 1 4 $a The geometry of spherically symmetric Finsler manifolds $h [electronic resource] / $c by Enli Guo, Xiaohuan Mo.
260 $a Singapore : $c 2018. $b Springer Singapore : $b Imprint: Springer,
300 $a xiii, 154 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematics, $x 2191-8198
505 0 $a Chapter 1. Spherically Symmetric Finsler Metrics -- Chapter 2. Dually Flat Spherically Symmetric Metrics -- Chapter 3. Spherically Symmetric Metrics of Isotropic Berwald Curvature -- Chapter 4. Spherically Symmetric Douglas Metrics -- Chapter 5. Projectively Flat Spherically Symmetric Metrics -- Chapter 6. Spherically Symmetric Metrics of Scalar Curvature -- Chapter 7. Spherically Symmetric Metrics of Constant Flag Curvature -- Chapter 8. Spherically Symmetric W-quadratic Metrics.
520 $a This book presents properties, examples, rigidity theorems and classification results of such Finsler metrics. In particular, this book introduces how to investigate spherically symmetric Finsler geometry using ODE or PDE methods. Spherically symmetric Finsler geometry is a subject that concerns domains in R^n with spherically symmetric metrics. Recently, a significant progress has been made in studying Riemannian-Finsler geometry. However, constructing nice examples of Finsler metrics turn out to be very difficult. In spherically symmetric Finsler geometry, we find many nice examples with special curvature properties using PDE technique. The studying of spherically symmetric geometry shows closed relation among geometry, group and equation.
650 0 $a Finsler spaces. $3 812042
650 1 4 $a Differential Geometry. $3 671118
650 2 4 $a Global Analysis and Analysis on Manifolds. $3 672519
700 1 $a Mo, Xiaohuan. $3 1209605
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in mathematics. $3 883715
856 4 0 $u https://doi.org/10.1007/978-981-13-1598-5
950 $a Mathematics and Statistics (Springer-11649)