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Contributors
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- By Rony A. Adam, Gloria Bachmann, Nichole M. Barker, Randall B. Barnes, John Bennett, Inbar Ben-Shachar, Jonathan S. Berek, Sarah L. Berga, Monica W. Best, Eric J. Bieber, Frank M. Biro, Shan Biscette, Anita K. Blanchard, Candace Brown, Ronald T. Burkman, Joseph Buscema, John E. Buster, Michael Byas-Smith, Sandra Ann Carson, Judy C. Chang, Annie N. Y. Cheung, Mindy S. Christianson, Karishma Circelli, Daniel L. Clarke-Pearson, Larry J. Copeland, Bryan D. Cowan, Navneet Dhillon, Michael P. Diamond, Conception Diaz-Arrastia, Nicole M. Donnellan, Michael L. Eisenberg, Eric Eisenhauer, Sebastian Faro, J. Stuart Ferriss, Lisa C. Flowers, Susan J. Freeman, Leda Gattoc, Claudine Marie Gayle, Timothy M. Geiger, Jennifer S. Gell, Alan N. Gordon, Victoria L. Green, Jon K. Hathaway, Enrique Hernandez, S. Paige Hertweck, Randall S. Hines, Ira R. Horowitz, Fred M. Howard, William W. Hurd, Fidan Israfilbayli, Denise J. Jamieson, Carolyn R. Jaslow, Erika B. Johnston-MacAnanny, Rohna M. Kearney, Namita Khanna, Caroline C. King, Jeremy A. King, Ira J. Kodner, Tamara Kolev, Athena P. Kourtis, S. Robert Kovac, Ertug Kovanci, William H. Kutteh, Eduardo Lara-Torre, Pallavi Latthe, Herschel W. Lawson, Ronald L. Levine, Frank W. Ling, Larry I. Lipshultz, Steven D. McCarus, Robert McLellan, Shruti Malik, Suketu M. Mansuria, Mohamed K. Mehasseb, Pamela J. Murray, Saloney Nazeer, Farr R. Nezhat, Hextan Y. S. Ngan, Gina M. Northington, Peggy A. Norton, Ruth M. O'Regan, Kristiina Parviainen, Resad P. Pasic, Tanja Pejovic, K. Ulrich Petry, Nancy A. Phillips, Ashish Pradhan, Elizabeth E. Puscheck, Suneetha Rachaneni, Devon M. Ramaeker, David B. Redwine, Robert L. Reid, Carla P. Roberts, Walter Romano, Peter G. Rose, Robert L. Rosenfield, Shon P. Rowan, Mack T. Ruffin, Janice M. Rymer, Evis Sala, Ritu Salani, Joseph S. Sanfilippo, Mahmood I. Shafi, Roger P. Smith, Meredith L. Snook, Thomas E. Snyder, Mary D. Stephenson, Thomas G. Stovall, Richard L. Sweet, Philip M. Toozs-Hobson, Togas Tulandi, Elizabeth R. Unger, Denise S. Uyar, Marion S. Verp, Rahi Victory, Tamara J. Vokes, Michelle J. Washington, Katharine O'Connell White, Paul E. Wise, Frank M. Wittmaack, Miya P. Yamamoto, Christine Yu, Howard A. Zacur
- Edited by Eric J. Bieber, Joseph S. Sanfilippo, University of Pittsburgh, Ira R. Horowitz, Emory University, Atlanta, Mahmood I. Shafi
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- Book:
- Clinical Gynecology
- Published online:
- 05 April 2015
- Print publication:
- 23 April 2015, pp viii-xiv
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Contributors
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- By Avishek Adhikari, Susanne E. Ahmari, Anne Marie Albano, Carlos Blanco, Desiree K. Caban, Jonathan S. Comer, Jeremy D. Coplan, Ana Alicia De La Cruz, Emily R. Doherty, Bruce Dohrenwend, Amit Etkin, Brian A. Fallon, Michael B. First, Abby J. Fyer, Angela Ghesquiere, Jay A. Gingrich, Robert A. Glick, Joshua A. Gordon, Ethan E. Gorenstein, Marco A. Grados, James P. Hambrick, James Hanks, Kelli Jane K. Harding, Richard G. Heimberg, Rene Hen, Devon E. Hinton, Myron A. Hofer, Matthew J. Kaplowitz, Sharaf S. Khan, Donald F. Klein, Karestan C. Koenen, E. David Leonardo, Roberto Lewis-Fernández, Jeffrey A. Lieberman, Michael R. Liebowitz, Sarah H. Lisanby, Antonio Mantovani, John C. Markowitz, Patrick J. McGrath, Caitlin McOmish, Jeffrey M. Miller, Jan Mohlman, Elizabeth Sagurton Mulhare, Philip R. Muskin, Navin Arun Natarajan, Yuval Neria, Nicole R. Nugent, Mayumi Okuda, Mark Olfson, Laszlo A. Papp, Sapana R. Patel, Anthony Pinto, Kristin Pontoski, Jesse W. Richardson-Jones, Carolyn I. Rodriguez, Steven P. Roose, Moira A. Rynn, Franklin Schneier, M. Katherine Shear, Ranjeeb Shrestha, Helen Blair Simpson, Smit S. Sinha, Natalia Skritskaya, Jami Socha, Eun Jung Suh, Gregory M. Sullivan, Anthony J. Tranguch, Hilary B. Vidair, Tor D. Wager, Myrna M Weissman, Noelia V. Weisstaub
- Edited by Helen Blair Simpson, Columbia University, New York, Yuval Neria, Columbia University, New York, Roberto Lewis-Fernández, Columbia University, New York, Franklin Schneier, Columbia University, New York
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- Book:
- Anxiety Disorders
- Published online:
- 10 November 2010
- Print publication:
- 26 August 2010, pp vii-xii
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Naturally Reductive Homogeneous Riemannian Manifolds
- Carolyn S. Gordon
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- Journal:
- Canadian Journal of Mathematics / Volume 37 / Issue 3 / 01 June 1985
- Published online by Cambridge University Press:
- 20 November 2018, pp. 467-487
- Print publication:
- 01 June 1985
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The simple algebraic and geometric properties of naturally reductive metrics make them useful as examples in the study of homogeneous Riemannian manifolds. (See for example [2], [3], [15]). The existence and abundance of naturally reductive left-invariant metrics on a Lie group G or homogeneous space G/L reflect the structure of G itself. Such metrics abound on compact groups, exist but are more restricted on noncompact semisimple groups, and are relatively rare on solvable groups. The goals of this paper are
(i) to study all naturally reductive homogeneous spaces of G when G is either semisimple of noncompact type or nilpotent and
(ii) to give necessary conditions on a Riemannian homogeneous space of an arbitrary Lie group G in order that the metric be naturally reductive with respect to some transitive subgroup of G.
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