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A Study of Kahlerian Einstein Manifold with Bochner Curvature Tensor
P. Bhardwaj1 , N. Kumar2
Section:Research Paper, Product Type: Journal-Paper
Vol.6 ,
Issue.4 , pp.89-92, Aug-2019
CrossRef-DOI: https://doi.org/10.26438/ijsrmss/v6i4.8992
Online published on Aug 31, 2019
Copyright © P. Bhardwaj, N. Kumar . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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IEEE Style Citation: P. Bhardwaj, N. Kumar, “A Study of Kahlerian Einstein Manifold with Bochner Curvature Tensor,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.4, pp.89-92, 2019.
MLA Style Citation: P. Bhardwaj, N. Kumar "A Study of Kahlerian Einstein Manifold with Bochner Curvature Tensor." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.4 (2019): 89-92.
APA Style Citation: P. Bhardwaj, N. Kumar, (2019). A Study of Kahlerian Einstein Manifold with Bochner Curvature Tensor. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(4), 89-92.
BibTex Style Citation:
@article{Bhardwaj_2019,
author = {P. Bhardwaj, N. Kumar},
title = {A Study of Kahlerian Einstein Manifold with Bochner Curvature Tensor},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {8 2019},
volume = {6},
Issue = {4},
month = {8},
year = {2019},
issn = {2347-2693},
pages = {89-92},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1436},
doi = {https://doi.org/10.26438/ijcse/v6i4.8992}
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i4.8992}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1436
TI - A Study of Kahlerian Einstein Manifold with Bochner Curvature Tensor
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - P. Bhardwaj, N. Kumar
PY - 2019
DA - 2019/08/31
PB - IJCSE, Indore, INDIA
SP - 89-92
IS - 4
VL - 6
SN - 2347-2693
ER -
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Abstract :
The main purpose of the present paper is to study of Kahlerian Einstein manifold with Bochner curvature tensor. Few interesting results for Kahlerian Einstein manifold with Bochner curvature tensor have been obtained. Further we discussed about the theory of Kahlerian Einstein manifold with Bochner curvature tensor with R is non-zero. If a non-affine holomorphically projective transformation satisfying the condition , .then Kahlerian manifold is terns into Kahlerian Einstein manifold. Necessary and sufficient condition that a holomorphically projective transformation is analytic in a Kahlerian Einstein manifold with non–vanishing scalar curvature tensor then its associated vector is analytic. An Kahlerian Einstein manifold, the associated vector of an analytic holomorphically projective transformation is analytic. An Einstein manifold with , any infinitesimal affine transformation is a killing vector. If the associated vector of an analytic holomorphically projective transformation satisfying the condition then a Kahlerian manifold satisfying the condition is not an Einstein manifold.
Key-Words / Index Term :
Kahlerian manifolds, Einstein manifold, Bochner Curvature Tensor, Kahlerian Einstein manifold, Killing vector, holomorphically projective transformation, Lie derivative, Lie Algebra, contravariant almost analytic vector, Covariant almost analytic vector
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