Projectively Flat Finslerian Structures (Paperback)

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

General

Imprint:	Lap Lambert Academic Publishing
Country of origin:	Germany
Release date:	2011
First published:	2011
Authors:	Ram Bilas Misra
Dimensions:	229 x 152 x 4mm (L x W x T)
Format:	Paperback - Trade
Pages:	64
ISBN-13:	978-3-8443-0037-6
Categories:	Books > Science & Mathematics > Mathematics > General
LSN:	3-8443-0037-6
Barcode:	9783844300376

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