Professor Krishan L. Duggal: a biographical note. (English) Zbl 1517.01029
Summary: In this note, we present a biographical sketch of the life and academic contributions of late Professor Krishan L. Duggal. His contributions span from Riemannian and Lorentzian geometries of manifolds with various structural groups of the tangent bundle, Lightlike curves and submanifolds, Cauchy-Riemann geometry, Symmetries of semi-Riemannian manifolds, to Killing horizons. In particular, his approach to the study of lightlike submanifolds is remarkable and drawn considerable interest of many geometers.
MSC:
| 01A70 | Biographies, obituaries, personalia, bibliographies |
Biographic References:
Duggal, Krishan LalReferences:
| [1] | Duggal, K.L. and Jin, D.H.: Null curves and hypersurfaces of Semi-Riemannian Manifolds, World Scientific, 2007. · Zbl 1144.53002 |
| [2] | Duggal, K. L. and Şahin, B. Generalized Cauchy-Riemann lightlike submanifolds of Kaehler manifolds. Acta Math. Hungar. 112(1-2),(2006), 107-130. · Zbl 1121.53022 |
| [3] | Duggal, K. L. and Şahin, B. Lightlike submanifolds of indefinite Sasakian manifolds. Int. J. Math. Math. Sci. 2007, Art. ID 57585, 21 pp. · Zbl 1147.53044 |
| [4] | Barletta, E., Dragomir, S. and Duggal, K.L.: Foliations in Cauchy-Riemann Geometry, Mathematical Surveys and Monographs, American Mathematical Society, 2007. · Zbl 1122.53015 |
| [5] | Beem, J.K. and Duggal, K.L.: Differential geometry and Mathematical Physics, Contemporary Mathematics, Volume 170, American Mathematical Society, 1994. · Zbl 0801.00031 |
| [6] | Bejancu, A.: Lightlike curves in Lorentzian manifolds, Publicationes Math. Debrecen 44 (1994), 145-155. · Zbl 0832.53016 |
| [7] | Bejancu, A. and Duggal, K.L.: Degenerate hypersurfaces of semi-Riemannian manifolds, Buletinul Institului Politehnic, Iasi 37 (1991),3-22. · Zbl 0808.53015 |
| [8] | Duggal, K.L.: Almost Ricci solitons and physical applications, Internat. Electron. J. Geom. 10 (2017), 1-10. · Zbl 1454.53082 |
| [9] | Duggal, K.L.: A new class of contact pseudo Framed manifolds with applications, Internat. J. Math. Math. Sci. (2021), 1-9, doi:10.1155/2021/6141587. · Zbl 1487.53098 |
| [10] | Duggal, K.L. and Bejancu, A.: Lightlike submanifolds of Semi-Riemannian Manifolds and Applications, Mathematics and Its Applications, Volume 364, Springer, 2010. · Zbl 0848.53001 |
| [11] | Duggal, K. L. and Şahin, B. Screen conformal half-lightlike submanifolds. Int. J. Math. Math. Sci. 65-68, (2004), 3737-3753. · Zbl 1071.53041 |
| [12] | Duggal, K. L. and Şahin, B. Screen Cauchy Riemann lightlike submanifolds. Acta Math. Hungar. 106 (1-2), (2005), 137-165. · Zbl 1083.53063 |
| [13] | Duggal, K. L. and Şahin, B. Generalized Cauchy-Riemann lightlike submanifolds of indefinite Sasakian manifolds. Acta Math. Hungar. 122(1-2), (2009), 45-58. · Zbl 1265.53039 |
| [14] | Duggal, K.L. and Şahin, B.: Differential geometry of Lightlike Submanifolds, Frontiers in Mathematics, Springer, 2010. · Zbl 1187.53001 |
| [15] | Duggal, K.L. and Sharma, R.: Lorentzian framed structures in general relativity, General Relativity and Gravitation 19 (1986), 71-77. · Zbl 0581.53053 |
| [16] | Duggal, K.L. and Sharma, R.: Conformal collineations and anisotropic fluids in general relativity, Journal of Mathematical Physics 27(1986), 2511-2513. · Zbl 0618.76131 |
| [17] | Duggal, K.L. and Sharma, R.: Mixed foliate CR-submanifolds of indefinite complex space-forms, Annali di Matematica Pura ed Applicata 149 (1987), 103-111. · Zbl 0652.53038 |
| [18] | Duggal, K.L. and Sharma, R.: Ricci curvature inheriting symmetries of semi-Riemannian manifolds, Contemporary Mathematics (American Mathematical Society) 170 (1994), 215-224. · Zbl 0866.53012 |
| [19] | Duggal, K.L. and Sharma, R. : Symmetries of Spacetimes and Riemannian Manifolds, Mathematics and its Applications, Vol. 487, Kluwer Academic Press,1999 (Taken over by Springer-Science). · Zbl 0962.53003 |
| [20] | Duggal, K.L. and Sharma, R. : Recent Advances in Riemannian and Lorentzian Geometries, Contemporary Mathematics, Volume 337, American Mathematical Society. · Zbl 1029.00028 |
| [21] | Kupeli, D.N.: Singular Semi-Riemannian Geometry, Vol. 366, Kluwer Academic Press, 1996. · Zbl 0871.53001 |
| [22] | Sharma, R.: Cauchy-Riemann Submanifolds of Semi-Riemannian Manifolds with Application to Relativity and Hydrodynamics, Ph.D. dissertation, University of Windsor, Ontario, Canada, 1986. |
| [23] | Sharma, R. and Duggal, K.L.: Solutions of Einstein’s equations with conformal symmetries and a contact slice, Nonlinear Analysis, Theory, Methods and Applns. 71 (2009), e701-705. · Zbl 1238.53051 |
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