Ram B. Misra

Projectively Flat Finslerian Structures

and Concircular Transformations

• Broschiertes Buch

Produktbeschreibung

Summary 1. Projectively flat Finsler spaces were introduced by Douglas [2], and studied by Berwald [1] for 2-dimension. Okumura [11] gave certain properties of projectively flat non-Riemannian spaces admitting concircular and torse-forming vector fields in association with symmetric and recurrent properties of their curvature tensors. Meher [3] studied projective flatness in a Finsler space when Berwald's curvature tensor is recurrent. He derived relations connecting the curvature tensor and the recurrence vector. Pandey [13] derived a necessary and sufficient condition for the projective flatness of a Finsler space in terms of its isotropic property. Currently, projective flatness of Finsler spaces Fn, n 2, is studied in association with their sectional curvature, symmetric and recurrent character of their curvature, and normal projective curvature tensor. The notation and symbolism used here are mainly based on the works [10] and [14]. 2. Concircular transformations, introduced by Yano [13] in Riemannian geometry, were extended by Takano [12] to affine geometry with recurrent curvature. Okumura [7] extended these to different types of Riemanna

Produktdetails

• Verlag: LAP Lambert Academic Publishing
• Seitenzahl: 64
• Erscheinungstermin: 20. Januar 2011
• Englisch
• Abmessung: 220mm x 150mm x 4mm
• Gewicht: 113g
• ISBN-13: 9783844300376
• ISBN-10: 3844300376
• Artikelnr.: 32760163

Autorenporträt

Prof Dr RB Misra has been teaching Maths at UG/PG levels since1962. Starting from the Uni of Allahabad (4th oldest Uni in theIndian sub-continent) he taught at various universities withinIndia and abroad.He published over 150 Res. Articles in Maths inleading journals of international repute and has been a regularReviewer in MR and Zbl.