CONFORMAL HEMI-SLANT SUBMERSIONS FROM ALMOST HERMITIAN MANIFOLDS |
Kumar, Sumeet
(Department of Mathematics and Astronomy University of Lucknow)
Kumar, Sushil (Department of Mathematics Shri Jai Narain Post Graduate college) Pandey, Shashikant (Department of Mathematics and Astronomy University of Lucknow) Prasad, Rajendra (Department of Mathematics and Astronomy University of Lucknow) |
1 | M. A. Akyol, Conformal semi-slant submersions, Int. J. Geom. Methods Mod. Phys. 14 (2017), no. 7, 1750114, 25 pp. https://doi.org/10.1142/S0219887817501146 |
2 | M. A. Akyol, Conformal anti-invariant submersions from cosymplectic manifolds, Hacet. J. Math. Stat. 46 (2017), no. 2, 177-192. |
3 | M. A. Akyol and B. Sahin, Conformal anti-invariant submersions from almost Hermitian manifolds, Turkish J. Math. 40 (2016), no. 1, 43-70. https://doi.org/10.3906/mat-1408-20 DOI |
4 | M. A. Akyol and B. Sahin, Conformal semi-invariant submersions, Commun. Contemp. Math. 19 (2017), no. 2, 1650011, 22 pp. https://doi.org/10.1142/S0219199716500115 |
5 | M. A. Akyol and B. Sahin, Conformal slant submersions, Hacet. J. Math. Stat. 48 (2019), no. 1, 28-44. https://doi.org/10.15672/hjms.2017.506 |
6 | C. Altafini, Redundand robotic chains on Riemannian submersions, IEEE Transaction on Robotics and Automation 20 (2004), no. 2, 335-340. DOI |
7 | P. Baird and J. C. Wood, Harmonic morphisms between Riemannian manifolds, London Mathematical Society Monographs. New Series, 29, The Clarendon Press, Oxford University Press, Oxford, 2003. https://doi.org/10.1093/acprof:oso/9780198503620.001.0001 |
8 | D. Chinea, Almost contact metric submersions, Rend. Circ. Mat. Palermo (2) 34 (1985), no. 1, 89-104. https://doi.org/10.1007/BF02844887 DOI |
9 | J.-P. Bourguignon, A mathematician's visit to Kaluza-Klein theory, Rend. Sem. Mat. Univ. Politec. Torino 1989, Special Issue, 143-163 (1990). |
10 | J.-P. Bourguignon and H. B. Lawson, Jr., Stability and isolation phenomena for Yang-Mills fields, Comm. Math. Phys. 79 (1981), no. 2, 189-230. http://projecteuclid.org/euclid.cmp/1103908963 DOI |
11 | U. C. De and A. A. Shaikh, Complex Manifolds and Contact Manifolds, Narosa Publishing House, New Delhi, 2009. |
12 | M. Falcitelli, S. Ianus, and A. M. Pastore, Riemannian Submersions and Related Topics, World Scientific Publishing Co., Inc., River Edge, NJ, 2004. https://doi.org/10.1142/9789812562333 |
13 | B. Fuglede, Harmonic morphisms between Riemannian manifolds, Ann. Inst. Fourier (Grenoble) 28 (1978), no. 2, vi, 107-144. http://www.numdam.org/item?id=AIF_1978__28_2_107_0 DOI |
14 | A. Gray, Pseudo-Riemannian almost product manifolds and submersions, J. Math. Mech. 16 (1967), 715-737. |
15 | S. Gundmundsson, The geometry of harmonic morphisms, Ph.D. thesis, University of Leeds, (1992). |
16 | S. Gudmundsson and J. C. Wood, Harmonic morphisms between almost Hermitian manifolds, Boll. Un. Mat. Ital. B (7) 11 (1997), no. 2, suppl., 185-197. |
17 | Y. Gunduzalp, Slant submersions from Lorentzian almost paracontact manifolds, Gulf J. Math. 3 (2015), no. 1, 18-28. |
18 | Y. Gunduzalp, Semi-slant submersions from almost product Riemannian manifolds, Demonstr. Math. 49 (2016), no. 3, 345-356. https://doi.org/10.1515/dema-2016-0029 DOI |
19 | S. Kumar, R. Prasad, and P. K. Singh, Conformal semi-slant submersions from Lorentzian para Sasakian manifolds, Commun. Korean Math. Soc. 34 (2019), no. 2, 637-655. https://doi.org/10.4134/CKMS.c180142 DOI |
20 | S. Ianus and M. Visinescu, Kaluza-Klein theory with scalar fields and generalised Hopf manifolds, Classical Quantum Gravity 4 (1987), no. 5, 1317-1325. http://stacks.iop.org/0264-9381/4/1317 DOI |
21 | C. Murathan and I. Kupeli Erken, Anti-invariant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds, Filomat 29 (2015), no. 7, 1429-1444. https://doi.org/10.2298/FIL1507429M DOI |
22 | B. O'Neill, The fundamental equations of a submersion, Michigan Math. J. 13 (1966), 459-469. http://projecteuclid.org/euclid.mmj/1028999604 DOI |
23 | K.-S. Park and R. Prasad, Semi-slant submersions, Bull. Korean Math. Soc. 50 (2013), no. 3, 951-962. https://doi.org/10.4134/BKMS.2013.50.3.951 DOI |
24 | B. Sahin, Riemannian Submersions, Riemannian Maps in Hermitian Geometry, and Their Applications, Elsevier/Academic Press, London, 2017. |
25 | S. Ianus and M. Visinescu, Space-time compactification and Riemannian submersions, in The mathematical heritage of C. F. Gauss, 358-371, World Sci. Publ., River Edge, NJ, 1991. |
26 | B. Sahin, Anti-invariant Riemannian submersions from almost Hermitian manifolds, Cent. Eur. J. Math. 8 (2010), no. 3, 437-447. https://doi.org/10.2478/s11533-010-0023-6 DOI |
27 | B. Sahin, Slant submersions from almost Hermitian manifolds, Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 54(102) (2011), no. 1, 93-105. |
28 | B. Sahin, Semi-invariant submersions from almost Hermitian manifolds, Canad. Math. Bull. 56 (2013), no. 1, 173-183. https://doi.org/10.4153/CMB-2011-144-8 DOI |
29 | B. Sahin, Riemannian submersions from almost Hermitian manifolds, Taiwanese J. Math. 17 (2013), no. 2, 629-659. https://doi.org/10.11650/tjm.17.2013.2191 DOI |
30 | H. M. Tastan, B. Sahin, and Yanan, Hemi-slant submersions, Mediterr. J. Math. 13 (2016), no. 4, 2171-2184. https://doi.org/10.1007/s00009-015-0602-7 DOI |
31 | B. Watson, G, G' -Riemannian submersions and nonlinear gauge field equations of general relativity, in Global analysis-analysis on manifolds, 324-349, Teubner-Texte Math., 57, Teubner, Leipzig, 1983. |
32 | B. Watson, Almost Hermitian submersions, J. Differential Geometry 11 (1976), no. 1, 147-165. http://projecteuclid.org/euclid.jdg/1214433303 DOI |