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$D_{a}$-Homothetic Deformation and Ricci Solitons in $(k, \mu)-$ Contact Metric Manifolds

Nagaraja H. G. [1] , Kiran Kumar D. L. [2] , Prakasha D. G. [3]

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In this paper, we study $(k,\mu)$-contact metric manifold under $D_a$-homothetic deformation. It is proved that a $D_3$-homothetic deformed locally symmetric $(1, -4)$-contact metric manifold is a Sasakian manifold and the Ricci soliton is shrinking. Further, $\xi^*$-projectively flat and $h$-projectively semisymmetric $(k, \mu)$-contact metric manifolds under $D_a$-homothetic deformation are studied and obtained interesting results.
$D_{a}$-homothetic deformation, Ricci solitons, projective curvature tensor, $D_{a}$-homothetic deformation, Ricci solitons, projective curvature tensor
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Primary Language en Engineering Articles Author: Nagaraja H. G. (Primary Author)Country: India Author: Kiran Kumar D. L.Country: India Author: Prakasha D. G.Country: India Publication Date: April 15, 2019
 Bibtex @research article { konuralpjournalmath451519, journal = {Konuralp Journal of Mathematics (KJM)}, issn = {}, eissn = {2147-625X}, address = {Mehmet Zeki SARIKAYA}, year = {2019}, volume = {7}, pages = {122 - 127}, doi = {}, title = {\$D\_\{a\}\$-Homothetic Deformation and Ricci Solitons in \$(k, \\mu)-\$ Contact Metric Manifolds}, key = {cite}, author = {H. G., Nagaraja and D. L., Kiran Kumar and D. G., Prakasha} } APA H. G., N , D. L., K , D. G., P . (2019). $D_{a}$-Homothetic Deformation and Ricci Solitons in $(k, \mu)-$ Contact Metric Manifolds. Konuralp Journal of Mathematics (KJM), 7 (1), 122-127. Retrieved from http://dergipark.org.tr/konuralpjournalmath/issue/31492/451519 MLA H. G., N , D. L., K , D. G., P . "$D_{a}$-Homothetic Deformation and Ricci Solitons in $(k, \mu)-$ Contact Metric Manifolds". Konuralp Journal of Mathematics (KJM) 7 (2019): 122-127 Chicago H. G., N , D. L., K , D. G., P . "$D_{a}$-Homothetic Deformation and Ricci Solitons in $(k, \mu)-$ Contact Metric Manifolds". Konuralp Journal of Mathematics (KJM) 7 (2019): 122-127 RIS TY - JOUR T1 - $D_{a}$-Homothetic Deformation and Ricci Solitons in $(k, \mu)-$ Contact Metric Manifolds AU - Nagaraja H. G. , Kiran Kumar D. L. , Prakasha D. G. Y1 - 2019 PY - 2019 N1 - DO - T2 - Konuralp Journal of Mathematics (KJM) JF - Journal JO - JOR SP - 122 EP - 127 VL - 7 IS - 1 SN - -2147-625X M3 - UR - Y2 - 2018 ER - EndNote %0 Konuralp Journal of Mathematics (KJM) $D_{a}$-Homothetic Deformation and Ricci Solitons in $(k, \mu)-$ Contact Metric Manifolds %A Nagaraja H. G. , Kiran Kumar D. L. , Prakasha D. G. %T $D_{a}$-Homothetic Deformation and Ricci Solitons in $(k, \mu)-$ Contact Metric Manifolds %D 2019 %J Konuralp Journal of Mathematics (KJM) %P -2147-625X %V 7 %N 1 %R %U ISNAD H. G., Nagaraja , D. L., Kiran Kumar , D. G., Prakasha . "$D_{a}$-Homothetic Deformation and Ricci Solitons in $(k, \mu)-$ Contact Metric Manifolds". Konuralp Journal of Mathematics (KJM) 7 / 1 (April 2019): 122-127. AMA H. G. N , D. L. K , D. G. P . $D_{a}$-Homothetic Deformation and Ricci Solitons in $(k, \mu)-$ Contact Metric Manifolds. Konuralp J. Math.. 2019; 7(1): 122-127. Vancouver H. G. N , D. L. K , D. G. P . $D_{a}$-Homothetic Deformation and Ricci Solitons in $(k, \mu)-$ Contact Metric Manifolds. Konuralp Journal of Mathematics (KJM). 2019; 7(1): 127-122.