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In this paper, we deal with the notion of a v-semi-slant submersion from an almost Hermitian manifold onto a Riemannian manifold. We investigate the integrability of distributions, the geometry of foliations, and a decomposition theorem. Given such a map with totally umbilical fibers, we have a condition for the fibers of the map to be minimal. We also obtain an inequality of a proper v-semi-slant submersion in terms of squared mean curvature, scalar curvature, and a v-semi-slant angle. Moreover, we give some examples of such maps and some open problems.
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참고문헌 (26)
참고문헌 신청
P. Baird / 2003 / London Mathematical Society Monographs. New Series / The Clarendon Press, Oxford University Press :29
J.-P. Bourguignon / 1989 / A mathematician’s visit to Kaluza-Klein theory / Rend. Sem. Mat. Univ. Politec. Torino 1989(Special Issue):143~163
J.-P. Bourguignon / 1981 / Stability and isolation phenomena for YangMills fields / Comm. Math. Phys 79(2):189~230
Bang-yen Chen / 1981 / Differential geometry of real submanifolds in a K�hler manifold / Monatshefte f�r Mathematik 91(4):257~274
B. Chen / 1990 / Geometry of slant submanifolds / Katholieke Universiteit Leuven
J.-P. Bourguignon / 1989 / A mathematician’s visit to Kaluza-Klein theory / Rend. Sem. Mat. Univ. Politec. Torino 1989(Special Issue):143~163
J.-P. Bourguignon / 1981 / Stability and isolation phenomena for YangMills fields / Comm. Math. Phys 79(2):189~230
Bang-yen Chen / 1981 / Differential geometry of real submanifolds in a K�hler manifold / Monatshefte f�r Mathematik 91(4):257~274
B. Chen / 1990 / Geometry of slant submanifolds / Katholieke Universiteit Leuven
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