Geodesic
CHARACTERIZATIONS OF BERGER SPHERES FROM THE VIEWPOINT OF SUBMANIFOLD THEORY
Glasgow mathematical journal, Tome 62 (2020) no. 1, pp. 137-145

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper, Berger spheres are regarded as geodesic spheres with sufficiently big radii in a complex projective space. We characterize such real hypersurfaces by investigating their geodesics and contact structures from the viewpoint of submanifold theory. 
KIM, BYUNG HAK; KIM, IN-BAE; MAEDA, SADAHIRO. CHARACTERIZATIONS OF BERGER SPHERES FROM THE VIEWPOINT OF SUBMANIFOLD THEORY. Glasgow mathematical journal, Tome 62 (2020) no. 1, pp. 137-145. doi: 10.1017/S0017089519000016
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     title = {CHARACTERIZATIONS {OF} {BERGER} {SPHERES} {FROM} {THE} {VIEWPOINT} {OF} {SUBMANIFOLD} {THEORY}},
     journal = {Glasgow mathematical journal},
     pages = {137--145},
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     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089519000016/}
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[1] Adachi, T., Kameda, M. and Maeda, S., Geometric meaning of Sasakian space forms from the viewpoint of submanifold theory, Kodai Math. J. 33 (2010), 383–397. Google Scholar | DOI

[2] Adachi, T., Maeda, S. and Yamagishi, M., Length spectrum of geodesic spheres in a non-flat complex space form, J. Math. Soc. Japan 54 (2002), 373–408. Google Scholar | DOI

[3] Kimura, M., Real hypersurfaces and complex submanifolds in complex projective space, Trans. Amer. Math. Soc. 296 (1986), 137–149. Google Scholar

[4] Klingenberg, W., Contributions to Riemannian geometry in the large, Ann. Math. 69(2) (1959), 654–666. Google Scholar | DOI

[5] Li, H., Vrancken, L. and Wang, X., A new characterization of the Berger sphere in complex projective space, J. Geom. Phys. 92 (2015), 129–139. Google Scholar | DOI

[6] Maeda, Y., On real hypersurfaces of a complex projective space, J. Math. Soc. Japan 28 (1976), 529–540. Google Scholar | DOI

[7] Niebergall, R. and Ryan, P. J., Tight and taut submanifolds, in Real hypersurfaces in complex space forms (Cecil, T.E. and Chern, S.S., Editors) (Cambridge University Press, New York, 1998), 233–305. Google Scholar

[8] Takagi, R., On homogeneous real hypersurfaces in a complex projective space, Osaka J. Math. 10 (1973), 495–506. Google Scholar

[9] Takagi, R., Real hypersurfaces in a complex projective space with constant principal curvatures II, J. Math. Soc. Japan 27 (1975), 507–516. Google Scholar | DOI

[10] Weinstein, A., Distance spheres in complex projective spaces, Proc. Amer. Math. Soc. 39 (1973), 649–650. Google Scholar | DOI

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