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Projectively Flat Finslerian Structures (Paperback)
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Projectively Flat Finslerian Structures (Paperback)
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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
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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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