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Dr. Pavithra R C

Assistant professor

  • School/College

    Faculty of Natural Sciences

  • Department

    Department of Mathematics and Statistics

Dr. Pavithra R. C. is an Assistant Professor in the Department of Mathematics and Statistics, Faculty of Natural Sciences, Ramaiah University of Applied Sciences, Bengaluru. She completed her Ph.D. in Mathematics from Bangalore University in 2026, specializing in Riemannian Geometry. Her research interests include almost contact metric manifolds, Riemannian geometry, curvature tensors, soliton structures, Geometry, Topology, Analysis, Cosmology, and Mathematical Physics. She has published several research papers in international journals, including Scopus-indexed journals, and has presented her research at various national and international conferences. Her research focuses particularly on geometric structures, curvature properties, and soliton theory on almost contact metric manifolds. She has teaching experience at both undergraduate and postgraduate levels and is interested in innovative, student-centred, and technology-enabled approaches to mathematics education.

Qualifications

  • Ph.D.

    Bangalore University, 2026

  • M.Sc.

    Tumkur University, 2014

  • B.Sc.

    Kalpataru First Grade Science College Tiptur, 2012

Experience

Total Years of Experience
  • 04 Years
Academic Experience (4 Years)
  • Shridevi PG Centre, Tumakuru: Two years of teaching experience as an Assistant Professor in the Department of Mathematics.
  • Government First Grade College, Tumakuru: Two years of teaching experience as a Guest Faculty in the Department of Mathematics.

  • Geometry
  • Topology
  • Analysis
  • Cosmology
  • Mathematical Physics

National Conference Papers
  • Pavithra, R.C., 2023, ‘On M-Projective curvature tensor of Sasaki-Kenmotsu manifolds admitting Zamkovoy connection’, National Conference on Advances in Pure and Applied Mathematics, PG and Research Department of Mathematics, Malankara Catholic College, Mariagiri, Tamil Nadu, 22 September.
  • Pavithra, R.C., 2024, ‘Conformal vector field on almost Cosymplectic (κ, μ) spaces’, National Conference on Mathematical Innovations in Science, Engineering, and Technology (NCMISET-2024), Department of Mathematics, PSGR Krishnammal College for Women, Coimbatore, 16–17 October.
International Conference Papers
  • Pavithra, R.C., 2023, ‘Three-dimensional trans-Sasakian manifolds admitting almost *-η-Ricci soliton’, International Conference on Advances in Pure and Applied Mathematics (ICAPAM-2023), Department of Mathematics, Ganpat University, Gujarat, 27–28 October.
  • Pavithra, R.C., 2023, ‘Holomorphically planar conformal vector fields on Sasaki-Kenmotsu manifolds’, International Conference on Recent Trends in Applied and Computational Mathematics (ICRTACM-2023), School of Applied Sciences, REVA University, Bengaluru, 30–31 October.
  • Pavithra, R.C., 2024, ‘*-η-Ricci-Yamabe solitons in three-dimensional Riemannian manifold’, International Conference on Science and Technology for Sustainable Future (ICSTSF-2024), Acharya Institute of Technology, Bengaluru, 29–31 May.
International Journal Papers
  • Pavithra, R.C. and Nagaraja, H.G., 2023. ‘Almost *-η-Ricci soliton on three-dimensional trans-Sasakian manifolds’. International Journal of Geometric Methods in Modern Physics, 20(10), p.2350173.
  • Pavithra, R.C. and Nagaraja, H.G., 2024. ‘Certain Vector Fields on Sasaki–Kenmotsu Manifolds’. Lobachevskii Journal of Mathematics, 45(2), pp.762–769.
  • Nagaraja, H.G., Pavithra, R.C. and Sangeetha, M., 2024. ‘Riemannian manifolds in three solitons, Advanced dimensions and *-η-Ricci-Yamabe Studies’. Euro-Tbilisi Journal, 17(4), pp.181–193.
  • Pavithra, R.C. and Nagaraja, H., ‘η-Ricci-Yamabe Solitons on K-Contact Manifolds under D-Homothetic Deformation’. Konuralp Journal of Mathematics, 13(1), pp.14–20.
  • Pavithra, R.C., 2025. ‘Characterization of the M-Projective Curvature Tensor in Sasakian Manifolds with General Connections’. International Journal of Open Problems in Computer Science and Mathematics, 18(3), pp.70–82.
  • Pavithra, R.C. and Nagaraja, H.G., 2025. ‘*-Weyl curvature tensor within the framework on Sasakian manifold admitting Zamkovoy connection’. Electronic Journal of Mathematical Analysis and Applications, 13(2), pp.1–9.
  • Pavithra, R.C., Sangeetha, M. and Nagaraja, H.G., 2025. ‘Quarter-symmetric metric connection on Sasaki-Kenmotsu manifold’. Novi Sad Journal of Mathematics.
  • Nagaraja, H.G. and Pavithra, R.C., 2026. ‘Conformal vector fields on almost α-Cosymplectic (κ, µ)-spaces’. Palestine Journal of Mathematics, 15(1), p.615.
  • Pavithra, R.C. and Nagaraja, H.G., 2026. ‘Critical Point Equation on K-Contact Generalized Sasakian Space Form’. Ukrainian Mathematical Journal, 78(3), p.24.
  • Nagaraja, H.G. and Pavithra, R.C., 2026. ‘Geometric characterizations of almost η-Ricci-Bourguignon solitons on para-Kenmotsu manifolds’. Journal of Mathematical Sciences, Springer, accepted for publication.
  • Pavithra, R.C. and Nagaraja, H.G., 2026. ‘Cotton and Bach tensor on K-contact generalized Sasakian space form’. Bulletin of the Transilvania University of Brasov Series III: Mathematics and Computer Science, accepted for publication.

Applications Opening Soon for 2026

ADDRESS

University House, New BEL Road, MSR Nagar, Bengaluru - 560054