{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T09:04:43Z","timestamp":1777367083597,"version":"3.51.4"},"reference-count":19,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001501","name":"University Grants Commission","doi-asserted-by":"publisher","award":["39-30\/2010"],"award-info":[{"award-number":["39-30\/2010"]}],"id":[{"id":"10.13039\/501100001501","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2014]]},"abstract":"The present paper deals with a study of 3-dimensional contact metric generalized(<\/mml:mo>k<\/mml:mi>,<\/mml:mo>\u03bc<\/mml:mi><\/mml:mrow>)<\/mml:mo><\/mml:mrow><\/mml:mrow><\/mml:math>-space forms. We obtained necessary and sufficient condition for a 3-dimensional contact metric generalized(<\/mml:mo>k<\/mml:mi>,<\/mml:mo>\u03bc<\/mml:mi><\/mml:mrow>)<\/mml:mo><\/mml:mrow><\/mml:mrow><\/mml:math>-space form withQ<\/mml:mi>\u03d5<\/mml:mi>=<\/mml:mo>\u03d5<\/mml:mi>Q<\/mml:mi><\/mml:mrow><\/mml:math>to be of constant curvature. We also obtained some conditions of such space forms to be pseudosymmetric and\u03be<\/mml:mi><\/mml:mrow><\/mml:math>-projectively flat, respectively.<\/jats:p>","DOI":"10.1155\/2014\/797162","type":"journal-article","created":{"date-parts":[[2014,4,15]],"date-time":"2014-04-15T17:05:43Z","timestamp":1397581543000},"page":"1-6","source":"Crossref","is-referenced-by-count":4,"title":["On 3-Dimensional Contact Metric Generalized(<\/mml:mo>k<\/mml:mi>,<\/mml:mo>\u03bc<\/mml:mi><\/mml:mrow>)<\/mml:mo><\/mml:mrow><\/mml:mrow><\/mml:math>-Space Forms"],"prefix":"10.1155","volume":"2014","author":[{"given":"D. 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